2023 |
Копылова Е.А., Комеч А.И., On the Stability of Solitons for the Maxwell-Lorentz equations with rotating particle, Milan Journal of Mathematics 91 (2023),155-173.
|
Копылова Е.А., Комеч А.И., On the Hamilton-Poisson structure and solitons for the Maxwell- Lorentz equations with spinning particle, J. Math. Anal. Appl 522 (2023), no. 2, 126976.
|
2022 |
Копылова Е.А., Комеч А.И., On global attractors for 2D damped driven non- linear Schr ̈odinger equations. Applicable Analysis 101 (2022), no. 15, 5490-5503.
|
2021 |
Копылова Е.А., Комеч А.И., Attractors of Hamiltonian Nonlinear Partial Differential Equations,
2021, Cambridge University Press. 200 pp. (Cambridge tracts in mathematics).
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, On Global Attractors For 2d Damped Driven Schroedinger Equations, Applicable Analysis (2021). Open access
|
Комеч А.И., A. Komech, On quantum jumps and attractors of the Maxwell-Schrödinger equations, Annales mathematiques du Quebec (2021)
|
Комеч А.И., A.Komech, Lectures on Quantum Mechanics and Attractors, World Scientific, Singapore, 2021
|
Комеч А.И., Копылова Е., A.Komech, E. Kopylova, Attractors of Hamiltonian Nonlinear Partial Differential Equations,
Cambridge Tracts in Mathematics 224, Cambridge University Press, Cambridge, 2021. http://iitp.ru/www.cambridge.org/9781316516911
|
2020 |
Копылова Е.А., Комеч А.И., Attractors of Hamilton nonlinear partial differential equation,
Russian Math. Surveys, 75 (2020), no. 1, 1--87.
|
Комеч А.И., Копылова Е., А. И. Комеч, Е. А. Копылова, Аттракторы нелинейных гамильтоновых уравнений в частных производных
УМН, 2020, том 75, выпуск 1(451), страницы 3–94.
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, Attractors of nonlinear Hamiltonian partial differential equations, Russ. Math. Surv. 75 (2020), no.1, 1-87.
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, Global attractor for 1D Dirac field coupled to nonlinear oscillator, Comm. Math. Phys. 375 (2020), no. 1, 573-603. Open Access.
|
2019 |
Копылова Е.А., Комеч А.И., Global attractor for 1D Dirac field coupled to nonlinear oscillator,
Comm. Math. Physics, 375 (2020), 573-603.
|
Копылова Е.А., Комеч А.И., On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities,
Dynamics of PDEs, 16 (2019), no. 2, 105-124.
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities, Dynamics of PDEs 16 (2019), 105-124.
|
Комеч А.И., Мерзон А.Е., A. Komech, A. Merzon, Stationary Diffraction by Wedges, Lecture Notes in Mathematics 2249, Springer Narure, Switzerland, 2019
|
2018 |
Копылова Е.А., Комеч А.И., On the dispersion decay for crystals in the linearized Schr\"odinger--Poisson model,
J. Math. Anal. Appl., 464 (2018), no.1, 864--882.
|
Копылова Е.А., Комеч А.И., On orbital stability of ground states for finite crystals in fermionic Schroedinger-Poisson model.
SIAM J. Math. Anal., 50 (2018), no. 1, 64--85.
|
Копылова Е.А., Комеч А.И., Spohn H., On global attractors and radiation damping for nonrelativistic particle
coupled to scalar field, St. Petersburg Math. J., 29 (2018), no.2, 249--266.
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, On the dispersion decay for crystals in the linearized Schr\"odinger--Poisson model, J. Math. Anal. Appl. 464 (2018), 864-882
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, On orbital stability of ground states for finite crystals in fermionic Schr\"odinger--Poisson model, SIAM J. Math. Analysis 50 (2018), no. 1, 64--85. Open access.
|
2017 |
Копылова Е.А., Комеч А.И., On stability of ground states for finite crystals in the Schroedinger-Poisson model.
J. Math. Phys., 58 (2017), no. 3, 031902, 18 pp.
|
Комеч А.И., Мерзон А.Е., A. Komech, A. E. Merzon, Asymptotic completeness of scattering in the nonlinear Lamb system
for nonzero mass, Russ. J. Math. Phys. 24 (2017), no. 3, 336-346.
|
Комеч А.И., Имайкин В., Шпон Г., V. Imaykin, A. Komech, H. Spohn, On invariants for the Poincaré equations and applications,
J. Math. Phys. 58 (2017), no. 1, 012901-012913.
|
Комеч А.И., Копылова Е., A. Komech, E. Kopylova, On stability of ground states for finite crystals in the Schrödinger–Poisson model,
J. Math. Phys. 58 (2017), no. 3, 031902-1 – 031902-18. Open access.
|
Комеч А.И., Имайкин В., Шпон Г., V. Imaykin, A. Komech, H. Spohn, On invariants for the Poincaré equations and applications, J. Math. Phys. 58 (2017), no. 1, 012901-1 – 012901-13. arXiv:1603.03997
|
Комеч А.И., Копылова Е., Шпон Г., А. Комеч, Е. Копылова, Г. Шпон, О глобальном аттракторе и радиационном демпинге для нерелятивистской частицы в скалярном поле, Алгебра и Анализ, 29 (2017), no. 2, 34-58.
(On global attractors and radiation damping for nonrelativistic particle coupled to scalar field)
|
2016 |
Копылова Е.А., Комеч А.И., On the linear stability of crystals in the Schroedinger-Poisson model.
J. Stat. Phys., 165 (2016), no. 2, 246-273.
|
Копылова Е.А., Комеч А.И., Asymptotic stability of stationary states in wave equation
coupled to nonrelativistic particle,
Russ. J. Math. Phys., 23 (2016), no. 1, 93-100.
|
Комеч А.И., On the linear stability of crystals for the Schr\"odinger-Poisson model, {\em J. Stat. Phys.} {\bf 165} (2016), no. 2, 246-273.
|
Комеч А.И., Attractors of nonlinear Hamilton PDEs, {\em Discrete and Continuous Dynamical Systems A} {\bf 36} (2016), no. 11, 6201-6256. arXiv:1409.2009
|
Комеч А.И., On crystal ground state in the Schr\"odinger-Poisson model with point ions, {\em Math. Notes} {\bf 99} (2016), no. 6, 886-894.
|
Комеч А.И., Копылова Е., Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle,
{\em Russ. J. Math. Phys.} {\bf 23} (2016), no. 1, 93-100. arXiv:1511.08680
|
2015 |
Комеч А.И., Мерзон А.Е., Пас Мендес Ла, Time-dependent scattering of (generalized) plane waves by wedge,
{\em Mathematical Methods in Applied Sciences}, {\bf 38} (2015), no. 18, 4774-4785.
arXiv:1405.7114.
|
Комеч А.И., On the Hartree-Fock dynamics in wave-matrix picture, {\em Dynamics of PDE} {\bf 12} (2015), no. 2, 157-176. arXiv:1407.5208
|
Комеч А.И., On dynamical justification of quantum scattering cross section,
{\em J. Math. Anal. Appl.} {\bf 432} (2015), no. 1, 583-602.
arXiv:1206.3677
|
Комеч А.И., Мерзон А.Е., Пас Мендес Ла, On uniqueness and stability of Sobolev’s solution in scattering by wedges,
{\em Zeitschrift f\"ur angewandte Mathematik und Physik},
{\bf 66} (2015), no. 5, 2485-2498.
Co-authored by A.E. Merzon, J.E. De la Paz Mendez.
|
Комеч А.И., Копылова Е., On the eigenfunction expansion for Hamilton operators,
{\em J. Spectral Theory} {\bf 5} (2015), no.2, 331-361.
|
Комеч А.И., Мерзон А.Е., Пас Мендес Ла, Вега Виллалба, On the Keller-Blank solution to the scattering problem of pulses by wedges,
{\em Mathematical Methods in Applied Sciences},
{\bf 38} (2015), no. 10, 2035-2040.
|
Комеч А.И., On the crystal ground state in the Schr\"odinger-Poisson model, {\em SIAM J. Math. Anal} {\bf 47} (2015), no.2, 1001-1021. arXiv:1310.3084
|
Комеч А.И., Копылова Е., Weighted energy decay for magnetic Klein-Gordon equation,
{\em J. Applicable Analysis} {\bf 94} (2015), no. 2, 219-233. arXiv:1309.1759.
|
Комеч А.И., Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert; On the Lagrangian theory for rotating charge in the Maxwell field. Phys. Lett. A 379 (2015), no. 1-2, 5–10.
|
2014 |
Комеч А.И., On global attractors of Hamilton nonlinear PDEs, p. 59 in:
Abstracts of The Seventh International Conference
on Differential and Functional Differential Equations
Moscow, Russia, August 22–29, 2014.
http://dfde2014.mi.ras.ru/files/abstracts.pdf
|
Комеч А.И., On global attractors of Hamilton nonlinear PDEs,
International conference "Stochastic and PDE Methods in Mathematical Physics",
15-17 September 2014,
Paris, University of Paris-Diderot http://shirikyan.u-cergy.fr/detailed%20programme.pdf
|
Комеч А.И., Копылова Е.А., On eigenfunction expansion of solutions to the Hamilton equations, J. Stat. Phys. 154 (2014), no.
1-2, 503-521. arXiv:1308.0485. Co-authored by E. Kopylova. DOI 10.1007/s10955-013-0846-1
|
2013 |
Комеч А.И., A variant of the Titchmarsh convolution theorem for distributions on the circle, Funktsional.
Anal. i Prilozhen. 47 (2013), no. 1, 26–32. [Russian] ; English translation in Funct. Anal. Appl.
47 (2013), no. 1, 21-26. Co-authored by A.A. Komech.
|
Комеч А.И., Копылова Е.А., 5th St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh. Birman,
July 2-6, 2013, Euler Institute, Saint-Petersburg, Russia.
Title: On spectral resolution and eigenfunction expansions for Hamilton operators.
http://www.pdmi.ras.ru/EIMI/2013/ST5/programme.pdf
|
Комеч А.И., Копылова Е.А., Копылов С., Nonlinear wave equations with parabolic potentials, Journal of Spectral Theory 3 (2013), 1-19.
ArXiv 1206.6073.
|
492, Комеч А.И., On the Titchmarsh convolution theorem for distributions on a circle. Journal of Functional Analysis and Its Applications, 47 (2013), 21--26
DOI:10.1007/s10688-013-0003-2
http://arxiv.org/abs/1108.2463 http://dx.doi.org/10.1007/s10688-013-0003-2
|
Комеч А.И., Quantum Mechanics: Genesis and Achievements, Springer, Dordrecht, 2012. 285 pages.
ISBN 978-94-007-5542-0
http://www.springer.com/physics/quantum+physics/book/978-94-007-5541-3
|
Комеч А.И., Мерзон А., On asymptotic completeness of scattering in the nonlinear Lamb system II, J. Math. Physics
54(2013), 012702-012710. arXiv:1205.5850
http://dx.doi.org/10.1063/1.4773288
|
Комеч А.И., Копылова Е., Карлович Ю., Мерзон А., On the spreading rate of the soliton perturbation for relativistic nonlinear wave equation,
accepted in Comm. Math. Analysis 14 (2013), no. 2, 95-102.
Co-authored by E. Kopylova, Yu. Karlovich, A.Merzon.
|
Комеч А.И., Копылова Е., Weighted decay for magnetic Schrdinger equation, J. Funct. Analysis 264 (2013), no. 3, 735-751.
http://dx.doi.org/10.1016/j.jfa.2012.12.001
|
2012 |
Комеч А.И., Копылова Е., Dispersive estimates for magnetic Schrodinger and Klein-Gordon equations, 6th European
Congress of Mathematics, Krakow, July 2-7, 2012.
http://www.6ecm.pl/en/programme/posters
|
Комеч А.И., Копылова Е., Dispersive estimates for magnetic Schroedinger and Klein-Gordon equations, p. 210 in: Abstracts
of International Conference on Differential Equations and Dynamical Systems, Suzdal,
June 29-July 4, 2012.
|
Комеч А.И., On global attractors of nonlinear hyperbolic PDEs, p. 27 in: DIFFERENTIAL EQUATIONS
AND APPLICATIONS, International Conference in Honour of Mark Vishik On the occasion
of his 90th birthday, Moscow, June 4-7, 2012.
http://www.dynamics.iitp.ru/vishik/abstracts/abstracts.pdf
|
Комеч А.И., Global attractors of nonlinear hyperbolic PDEs, Abstracts, International Workshop ”Analysis,
Operator Theory, and Mathematical Physics”. January 23 - 27, 2012, Ixtapa, Mexico.
http://www.lsis.org/gauthierjp/mexique/ixtapa.pdf
|
Комеч А.И., Копылова Е., Dispersion Decay and Scattering Theory, John Wiley & Sons, Hoboken, NJ, 2012. 202 pages.
ISBN 978-1-118-34182-7
http://www.wiley-vch.de/publish/en/books/ISBN978-1-118-34182-7
|
Комеч А.И., Копылова Е., Копылов C., On nonlinear wave equations with parabolic potentials, arXiv:1206.6073. Co-authored by Elena
Kopylova, Sergey Kopylov
|
Комеч А.И., On wave theory of the photoeffect, arXiv:1206.3680.
|
Комеч А.И., On Dynamical Justification of Quantum Scattering Cross Section, arXiv:1206.3677.
|
Комеч А.И., Имайкин В., Шпон Г., On Lagrangian Theory for Rotating Charge Coupled to the Maxwell Field, arXiv:1206.3641.
|
Комеч А.И., Мерзон А., On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II, arXiv:1205.5850
|
Комеч А.И., Копылова Е., Weighted decay for magnetic Schroedinger equation. arXiv:1204.1731.
|
Комеч А.И., Копылова Е., On convergence to equilibrium distribution for Dirac equation, arXiv:1201.6221.
|
Комеч А.И., Имайкин В., Вайнберг Б., Scattering of solitons for coupled wave-particle equations, J. Math. Analysis and Appl. 389
(2012), no. 2, 713-740. arXiv:1006.2618
http://dx.doi.org/10.1016/j.jmaa.2011.12.016
|
Комеч А.И., Копылова Е., Стюарт Д., On asymptotic stability of solitary waves for Sch¨odinger equation coupled to nonlinear oscillator,
II. Comm. Pure Appl. Anal. 11 (2012), no. 3, 1063-1079.
doi:10.3934/cpaa.2012.11.1063
|
2011 |
Комеч А.И., Шпон Г., Имайкин В., Scattering asymptotics for a charged particle coupled to the Maxwell field, J. Math. Physics 52
(2011), no. 4, 042701-1–042701-33. arXiv:0807.1972
http://dx.doi.org/10.1063/1.3567957
|
Комеч А.И., Копылова Е., On convergence to equilibrium distribution for Dirac equation, Markov processes and related
fields 17 (2011), 523-540.
|
Комеч А.И., Копылова Е., On asymptotic stability of kink for relativistic Ginzburg-Landau equation, Arch. Rat. Mech.
Anal. 202 (2011), no. 2, 213-245. ArXiv:0910.5539
DOI: 10.1007/s00205-011-0415-1
|
Комеч А.И., Копылова Е., Шпон Г., Scattering of solitons for Dirac equation coupled to a particle, J. Math. Analysis and Appl.
383 (2011), no. 2, 265-290. arXiv:1012.3109
http://dx.doi.org/10.1016/j.jmaa.2011.05.037
|
Комеч А.И., Копылова Е., On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation, Comm.
Math. Physics 302 (2011), no. 1, 225-252. ArXiv:0910.5538
DOI: 10.1007/s00220-010-1184-7
|
Комеч А.И., 492, On global attraction to quantum stationary states. Dirac equation with mean field interaction.
Commun. Math. Anal. (2011), Conference 3, 131--136.
http://arXiv.org/abs/0910.0517 http://math-res-pub.org/cma/proceedings/74-conference-3-cma
|
492, Комеч А.И., Well-posedness, energy and charge conservation for nonlinear wave equations in discrete space-time, Russian Journal of Mathematical Physics 18 (2011), no. 4, 410--419.
DOI:10.1134/S1061920811040030
http://arxiv.org/abs/1008.3032 http://dx.doi.org/10.1134/S1061920811040030
|
2010 |
492, Комеч А.И., Global attraction to solitary waves for nonlinear Dirac equation with mean field interaction, SIAM J. Math. Anal. 42 (2010), no. 6, 2944--2964.
DOI:10.1137/090772125 http://dx.doi.org/10.1137/090772125
|
Комеч А.И., 492, Global attractor for the Klein-Gordon field coupled to several nonlinear oscillators, Journal de Mathématiques Pures et Appliquées 93 (2010), no. 1, 91--111.
DOI:10.1016/j.matpur.2009.08.011
http://arxiv.org/abs/math.AP/0702660 http://dx.doi.org/10.1016/j.matpur.2009.08.011
|
Копылова Е.А., Комеч А.И., Weigted energy decay for 3D Klein-Gordon equation, Journal of Diff.Equations, 248 (2010), n.3, p.501-520.
|
2009 |
Комеч А.И., 492, Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Annales de l"Institute Henri Poincaré (Analyse non linéaire) 26 (2009), no. 3, 855--868
DOI:10.1016/j.anihpc.2008.03.005
http://arxiv.org/abs/0708.1131 http://dx.doi.org/10.1016/j.anihpc.2008.03.005
|
Комеч А.И., 492, Principles of Partial Differential Equations, Springer, 2009. ISBN 978-1-4419-1095-0
DOI:10.2007/978-1-4419-1096-7 http://dx.doi.org/10.2007/978-1-4419-1096-7
|
Комеч А.И., Weighted energy decay for
1D Klein-Gordon equation,
accepted in Comm. PDE, 2009.
Co-authored by E. Kopylova.
|
Комеч А.И., Weighted energy decay for
3D Klein-Gordon equation,
accepted in J. Differential Equations, 2009.
Co-authored by E. Kopylova.
|
Комеч А.И., On global attraction to solitary waves for the
Klein-Gordon field coupled to several nonlinear oscillators,
accepted in
J. des Mathematiques Pures et App., 2009.
Co-authored by A. Comech. arXiv:math/0702660
|
Комеч А.И., Global attraction to solitary waves for Klein-Gordon
equation with mean field interaction,
Annales de l"IHP-ANL 26 (2009), no. 3, 855-868.
Co-authored by A.A. Komech.
arXiv:math-ph/0711.1131
|
Комеч А.И., On asymptotic completeness of scattering in the nonlinear Lamb system,
J. Math. Physics 50 (2009),
023514-1 -- 023514-10.
Co-authored by A.E. Merzon
|
Комеч А.И., Scattering in the nonlinear Lamb system,
Physics Letters A 373 (2009), 1005-1010.
Co-authored by A.E. Merzon
|
2008 |
Комеч А.И., 492, Global attraction to solitary waves in models based on the
Klein-Gordon equation.
SIGMA 4 (2008), 010. 1--23. Proceedings of the Seventh
International Conference ``Symmetry in Nonlinear Mathematical
Physics" (June 24-30, 2007; Institute of Mathematics, Kyiv, Ukraine).
DOI:10.3842/SIGMA.2008.010
http://arxiv.org/abs/0711.0041 http://dx.doi.org/10.3842/SIGMA.2008.010
|
Комеч А.И., On asymptotic stability of solitary waves
in nonlinear Schr"odinger equation,
Comm. Partial Diff. Eqns 33 (2008), no. 4, 669-705.
arXiv:math-ph/0702013
Co-authored by V. Buslaev, E. Kopylova and D. Stuart.
|
Комеч А.И., On dispersive properties
of discrete
2D Schr"odinger and Klein-Gordon equations,
J. Funct. Analysis 254 (2008), no. 8, 2227-2254.Co-authored by E. Kopylova and B. Vainberg.
Co-authored by E. Kopylova and B. Vainberg.
|
2007 |
Комеч А.И., 492, Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Arch. Ration. Mech. Anal. 185 (2007), no. 1, 105--142
DOI:10.1007/s00205-006-0039-z
http://arxiv.org/abs/math.AP/0609013 http://dx.doi.org/10.1007/s00205-006-0039-z
|
Комеч А.И., 492, Global well-posedness for the Schrodinger equation coupled to a nonlinear oscillator. Russ. J. Math. Phys. 14 (2007), no. 2, 164--173
DOI:10.1134/S1061920807020057
http://arxiv.org/abs/math.AP/0608780 http://dx.doi.org/10.1134/S1061920807020057
|
Комеч А.И., On relation between the Cauchy data
in scattering by wedge,
Russ. J. Math. Phys. 14 (2007), no. 3, 279-303.Co-authored by A.E. Merzon.
|
Комеч А.И., Global attractor for a nonlinear oscillator coupled
to the Klein-Gordon field,
Arch. Rat. Mech. Anal. 185 (2007), 105-142.Co-authored by A.A. Komech.
|
2006 |
Комеч А.И., Dispersive estimates for 1D discrete
Schr"odinger and Klein-Gordon equations,
Applicable Analysis 85 (2006), no. 12, 1487-1508.
Co-authored by E. Kopylova and M. Kunze.
|
Комеч А.И., On scattering of solitons for
the Klein-Gordon equation coupled to a particle,
Comm. Math. Phys. 268 (2006), no. 2, 321-367.
arXiv:math.AP/0609205
Co-authored by V. Imaikin and B. Vainberg.
|
Комеч А.И., 492, On global attraction to solitary waves for the
Klein-Gordon equation coupled to nonlinear oscillator,
C. R., Math., Acad. Sci. Paris 343, Issue 2,
15 July 2006, Pages 111--114.
DOI:10.1016/j.crma.2006.06.009
http://iitp.ru/ http://dx.doi.org/10.1016/j.crma.2006.06.009
|
Комеч А.И., On metastable regimes in
stochastic Lamb system,
Journal of Mathematical Physics 47 (2006), no. 4, 043301-1 -- 043301-12.
Co-authored by M. Freidlin.
|
Комеч А.И., Limiting amplitude principle
in the diffraction by wedges,
Mathematical Methods in Applied Sciences 29 (2006),
no. 10,
1147-1185.Co-authored by A.E. Merzon.
|
Комеч А.И., Scattering of solitons
for Schr"odinger equation coupled to a particle,
Russian J. Math. Phys. 13 (2006), no. 2, 158-187.
arXiv:math.AP/0609649
Co-authored by E.A. Kopylova.
|
Комеч А.И., On two-temperature problem for the Klein-Gordon
equation,
Theory Prob. Appl. 50 (2006), no. 4, 582-611.Co-authored by T. Dudnikova.
|
2005 |
Комеч А.И., Двух-температурная задача для уравнения Клейна-Гордона,
Теория Вероятностей и ее Приложения,
50 (2005), № 4, 675-710.
Co-authored by T. Dudnikova.
|
Комеч А.И., On convergence to equilibrium distribution
for Schr"odinger equation,
Markov Processes and Related Fields,
11 (2005),
no. 1, 81-110.
Co-authored by E. Kopylova and N. Mauser.
|
Комеч А.И., On the convergence to a statistical equilibrium
in the crystal coupled to a scalar field,
Russ. J. Math. Phys.
12 (2005), no. 3, 301-325.
Co-authored by T. Dudnikova.
|
Комеч А.И., On Sommerfeld representation and uniqueness in diffraction by
wedges, Mathematical Methods
in Applied Sciences 28 (2005), no. 2, 147-183.
Co-authored by N.J. Mauser and A.E. Merzon.
|
2004 |
Комеч А.И., On attraction to solitons in relativistic nonlinear wave equations,
Russ. J. Math. Phys. 11 (2004), no. 3,
289-307.
Co-authored by N. Mauser and A. Vinnichenko.
|
Комеч А.И., Soliton-type asymptotics for the coupled Maxwell-Lorentz equations,
Ann. Inst. Poincar"e, Phys. Theor. 5 (2004),
1117-1135.
Co-authored by V. Imaikin and N. Mauser.
|
Комеч А.И., Rotating charge coupled to the Maxwell field:
scattering theory and
adiabatic limit,
Monatshefte fuer Mathematik 142 (2004),
no. 1-2, 143-156.
Co-authored by V. Imaikin and H. Spohn.
|
Комеч А.И., On convergence to equilibrium distribution for
wave equation in even dimensions,
Ergodic Theory and Dynamical Systems 24 (2004), 1-30.
Co-authored by E. Kopylova and N. Mauser.
|
Комеч А.И., On two-temperature problem for harmonic crystals,
Journal of Statistical Physics 114 (2004), no. 3/4, 1035-1083.
Co-authored by T. Dudnikova and N. Mauser.
|
Комеч А.И., Scattering theory for a particle coupled to a scalar field,
Journal of Discrete and
Continuous Dynamical Systems 10 (2004), no. 12, 387-396.
Co-authored by V. Imaikin and H. Spohn.
|
2003 |
Комеч А.И., On the convergence to a statistical equilibrium
for the Dirac equation,
Russian Journal of Math. Phys. 10 (2003),
no. 4, 399-410.
Co-authored by T. Dudnikova and N. Mauser.
|
Комеч А.И., On convergence to statistical equilibrium
for harmonic crystals,
Journal of Mathematical Physics 44 (2003), no. 6, 2596-2620.
Co-authored by T. Dudnikova and H. Spohn.
|
Комеч А.И., Scattering of solitons of the Klein-Gordon equation
coupled to a classical particle,
Journal of Mathematical Physics 44 (2003), no. 3, 1202-1217.
Co-authored by V. Imaikin and P. Markowich.
|
2002 |
Комеч А.И., Breathers for a relativistic nonlinear wave
equation, Arch. Rat. Mech. Anal. 165 (2002), 317-345.
Co-authored by A. Bensoussan and C. Iliine.
|
Комеч А.И., Soliton-like asymptotics and scattering for a particle coupled to
Maxwell field,
Russian Journal of Mathematical Physics 9 (2002),
no. 4, 428-436.
Co-authored by V. Imaikin and H. Spohn.
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Комеч А.И., Energy-momentum relation for solitary waves
of relativistic wave equation,
Russian Journal Math. Phys. 9 (2002), no. 2, 153-160.
Co-authored by T. Dudnikova and H. Spohn.
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Комеч А.И., A method of complex characteristics for elliptic problems
in angles and its applications, pp 125-159 in:
Translations. Series 2. American Mathematical Society. 206,
American Mathematical Society (AMS), Providence, RI, 2002.
Co-authored by A. Merzon and P. Zhevandrov.
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Комеч А.И., On a two-temperature problem for wave equation with mixing,
Markov Processes and Related Fields 8 (2002),
no. 1, 43-80.
Co-authored by T.~Dudnikova and H.~Spohn.
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Комеч А.И., On convergence to equilibrium distribution, II. Wave
equation with mixing,
Journal of Statistical Physics 108} (2002), no. 4,
1219-1253.
Co-authored by
T.V.~Dudnikova, N.E.~Ratanov and Yu.M.~Suhov.
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Комеч А.И., On convergence to equilibrium distribution, I.
Klein-Gordon equation with mixing,
Comm. Math. Phys. 225 (2002), no. 1, 1-32.
Co-authored by
T.V.~Dudnikova, E.A.~Kopylova and Yu.M.~Suhov.
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2001 |
Комеч А.И., On a stabilization of the string interaction
with two nonlinear oscillators,
Moscow Univ. Math. Bull.}
56 (2001), no. 3, 3-10.
Co-authored by Yu.E.~Egorov.
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2000 |
Комеч А.И., Attractors of non-linear Hamiltonian
one-dimensional wave equations,
Russ. Math. Surv. 55 (2000),
no. 1, 43-92.
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Комеч А.И., Long-time asymptotics for the coupled Maxwell-Lorentz equations,
Comm. Partial Diff. Eqns. 25 (2000), no. 3/4, 558-585.
Co-authored by
H.~Spohn.
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1988 |
Комеч А.И., Вишик М.И., Periodic approximations of homogeneous measures.
In: Mathematical problems of statistical hydromechanics.— Kluver Academic Publishers, Dordrecht, Boston, London, 1988, p. 534—562.
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1985 |
Вишик М.И., Комеч А.И., Об оценке среднего квадрата разности скоростей для однородных статистических решений трехмерной системы Навье-Стокса.
Труды сем. им. И.Г.Петровского, 1985, 11, с. 3—11.
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1984 |
Вишик М.И., Комеч А.И., Задача Коши для уравнения Хопфа, Лиувилля и прямого и обратного уравнений Колмогорова.
В сб.: Н.Е. Кочин и развитие механики.— Москва: Наука, 1984, с. 202—218.
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1983 |
Вишик М.И., Комеч А.И., Об уравнениях Колмогорова, соответствующих двумерной стохастической системе Навье-Стокса.
Труды ММО, 1983, 46, с. 3—43.
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1982 |
Вишик М.И., Комеч А.И., Сильные решения двумерной стохастической системы Навье-Стокса и со ответствующие уравнения Колмогорова.— Zeitschrift fur Analysis und ihre Anwendungen, 1982, 1:3, s. 23—52 (совм. с А.И.Комечем).
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Вишик М.И., Комеч А.И., Статистические решения системы Навье-Стокса и системы Эйлера.
Успехи механики, 1982, 5:1 (2), с. 65—120.
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Вишик М.И., Комеч А.И., Обобщенные решения обратного уравнения Колмогорова, соответствующего стохастической системе Навье-Стокса.
Труды сем. им. И.Г.Петровского, 1982, 8, с. 86—110.
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1981 |
Вишик М.И., Комеч А.И., Индивидуальные и статистические решения двумерной системы Эйлера.
ДАН СССР, 1981, 261:4, с. 780—785.
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Вишик М.И., Комеч А.И., О стохастической системе Навье-Стокса и соответствующих уравнениях Колмогорова.
ДАН СССР, 1981, 257:6, с. 1298—1301.
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Вишик М.И., Комеч А.И., Слабые решения обратного уравнения Колмогорова, соответствующего статистической системе Навье-Стокса.
УМН, 1981, 36:3(219), с. 205—206. http://mi.mathnet.ru/umn2932
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Вишик М.И., Комеч А.И., Прямое и обратное уравнения Колмогорова, соответствующие стохастической системе Навье- Стокса.
Совместные заседания семинара имени И. Г. Петровского по дифференциальным уравнениям и математическим проблемам физики и Московского математического общества.
УМН, 1981, 36:4(220), с. 236. http://mi.mathnet.ru/umn3012
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1980 |
Вишик М.И., Комеч А.И., Stationary solutions of the stochastic Navier — Stokes equations.
In: Lecture Notes in Control and Information Sciences.— Springer, 1980, p. 103—113 .
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Вишик М.И., Комеч А.И., Однородные по х решения стохастической системы Навье-Стокса с белым шумом.
В кн.: Математические задачи статистической гидромеханики, Дополнение II, М.: Наука, 1980, с. 350— 429.
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Вишик М.И., Комеч А.И., Об однозначной разрешимости задачи Коши для прямого уравнения Колмогорова, соответствующего двумерной стохастической системе Навье-Стокса. Совместные заседания семинара имени И. Г. Петровского по дифференциальным уравнениям и математическим проблемам физики и Московского математического общества (третья сессия, 8–10 января 1980 г.).
УМН, 1980, 35:4 (214), с. 163—164. http://mi.mathnet.ru/umn3657
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1979 |
Вишик М.И., Комеч А.И., Трансляционно однородные решения стохастической системы Навье-Стокса.
ДАН, 1979, 246:5, с. 1037—1041.
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Вишик М.И., Комеч А.И., Фурсиков А.В., Некоторые математические задачи статистической гидромеханики.
УМН, 1979, 34:5 (209), с. 135—210. http://mi.mathnet.ru/umn4122
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1978 |
Вишик М.И., Комеч А.И., Фурсиков А.В., Однородные по х пространственно-временные статистические решения и индивидуальные решения с неограниченной энергией системы Навье-Стокса. Совместные заседания семинара имени И. Г. Петровского по дифференциальным уравнениям и математическим проблемам физики и Московского математического общества (18–20 января 1978 г.).
УМН, 1978, 33:3 (201), с. 133—134. http://mi.mathnet.ru/umn3425
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Вишик М.И., Комеч А.И., О разрешимости задачи Коши для прямого уравнения Колмогорова, соответствующего стохастическому уравнению типа Навье — Стокса.
В кн.: Комплексный анализ и его приложения.— М.: Наука, 1978, с. 126—136.
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Вишик М.И., Комеч А.И., О задаче Коши для бесконечномерных параболических дифференциальных уравнений второго порядка.
Труды сем. им. И. Г. Петровского, 1978, 4, с. 3—31.
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Вишик М.И., Комеч А.И., О разрешимости задачи Коши для уравнения Хопфа, соответствующего нелинейному гиперболическому уравнению.
Труды сем. им. И. Г. Петровского, 1978, 3, с. 19—42.
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Вишик М.И., Комеч А.И., Фурсиков А.В., Homogeneous stochastic solutions of the Navier-Stokes equations, In: International Symposium on stochastic differential equations.
Vilnius, 1978, p. 114—117.
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1977 |
Вишик М.И., Комеч А.И., О прямом уравнении Колмогорова, соответствующем стохастическим параболическим уравнениям и системе Навье-Стокса.
Вторая Вильнюсская конференция по теории вероятностей и математической статистике, Вильнюс, 1977, с.80—81.
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Вишик М.И., Комеч А.И., Бесконечномерные параболические уравнения, связанные со стохастическими уравнениями в частных производных.
ДАН, 1977, 233:5, с. 769—772.
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