On the Hamilton-Poisson structure and solitons for the Maxwell- Lorentz equations with spinning particle, J. Math. Anal. Appl 522 (2023), no. 2, 126976.
A.Komech, E. Kopylova, Attractors of Hamiltonian Nonlinear Partial Differential Equations,
Cambridge Tracts in Mathematics 224, Cambridge University Press, Cambridge, 2021. Перейти к публикации
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.
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.
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.
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.
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
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)
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 Загрузить (476.3 KB)
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. Загрузить (875.4 KB)
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. Загрузить (134.2 KB)
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 Загрузить (249.5 KB)
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.
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.
Перейти к публикации
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 Перейти к публикации
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
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.
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
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 Перейти к публикации