V. Chepyzhov - Publications

2015

Chepyzhov V., A.A. Bedrintsev, Design Space Description by Extremal Ellipsoids in Data Representation Problems
A.A. Bedrinsev, Chepyzhov V., S.S. Shernova, Extreme ellipsoids as approximations of design space in data predictive metamodeling problems. 2015. N. 2. P. 95-104. http://www.aidt.ru/index.php?option=com_content&view=article&id=684:a-a-bedrintsev-v-v-chepyzhov-s-s
Chepyzhov V., S.V. Zelik, Infinite energy solutions for Dissipative Euler equations in $\R^2$. Journal of Mathematical Fluid Mechanics. 2015. V. 17. P.513-532. http://link.springer.com/article/10.1007/s00021-015-0213-x
Chepyzhov V., Trajectory attractors for non-autonomous dissipative 2d Euler equations. Discrete and Continuous Dynamical Systems B. 2015. V. 20. N.3. P.811-832. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=10768
Chepyzhov V., Ilyin A.A., Zelik S.V., Strong trajectory and global $\mathbf{W^{1,p}}$-attractors for the damped-driven Euler system in $\mathbb R^2$. ArXiv.org e-Print archive, 1511.0387sv1, 2015, pp. 1-26. http://arxiv.org/abs/1511.03873

2014

Chepyzhov V., Conti M., Pata V., Totally dissipative dynamical processes and their uniform global attractors. Communications on Pure and Applied Analisis. 2014. V.13, N 5, pp.1989-2004. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=9989
Zelik S.V., Chepyzhov V., Regular Attractors of Autonomous and Nonautonomous Dynamical Systems. Doklady Mathematics, 2014, Vol. 89, No. 1, pp. 92–97.

2013

Chepyzhov V., Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics. Russian Math. Surveys, 68:2, 349–382 http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=9513&option_lang=rus
Vishik M., Zelik S.V., Chepyzhov V., Regular attractors and their nonautonomous perturbations // Mat. Sb., 204:1 (2013), 3–46 http://mi.mathnet.ru/msb8126

2012

Chepyzhov V., Trajectory attractors for equations of mathematical physics // Abstracts of the International Conference “Differential Equations and Applications” in Honour of Mark Vishik, Moscow, June 4-7, 2012. P.9. http://www.dynamics.iitp.ru/vishik/abstracts/chepyzhov.pdf
Chepyzhov V., Conti M., Pata V., A minimal approach to the theory of global attractors // Discrete and Continuous Dynamical Systems. 2012. V. 32. N.6. P.2079-2088. http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6990

2011

Chepyzhov V., Attractors for Autonomous and Non-autonomous Navier-Stokes Systems. Abstracts of 7th International Congress on Industrial and Applied Mathematics, July 18-22, 2011, Vancouver, Canada. P.88.
Chepyzhov V., Strong trajectory attractors for 2D Euler equations with dissipation. Abstracts of the International Mathematical Conference “50 Years of IPPI”, July 25-27, 2011, Moscow. P.1-3.
Vishik M., Chepyzhov V., Trajectory attractors of equations of mathematical physics. Uspekhi Mat. Nauk V. 66. N.4. P.3–102. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=rm&paperid=9407&option_lang=rus
Chepyzhov V., Vishik M., S.V.Zelik, Strong trajectory attractors for dissipative Euler equations. Journal de Mathematiques Pures et Appliquees. V.96. 2011. P.395-407. http://www.sciencedirect.com/science/article/pii/S0021782411000535

2010

Chepyzhov V., On trajectory attractors for non-autonomous 2D Navier-Stokes system in the Nicolskij space. Modern problems in analysis and in mathematical education. Proceedings. International conference dedicated to the 105-th anniversary of academician S.M.Nicolskij, 17-19 May 2010, MSU, Moscow. P.57-58.
Vishik M., Chepyzhov V., Trajectory attractor for a system of two reaction-diffusion equations with diffusion coefficient δ(t) → 0+ as t → + ∞. Doklady Mathematics, Vol. 81, 2010, No. 2. P.196–200. http://www.springerlink.com/content/g507tx4756054154/
Chepyzhov V., Vishik M., Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Discrete and Continuous Dynamical Systems A. V.27. 2010. N.4. P.1493-1509. http://aimsciences.org/journals/displayArticles.jsp?paperID=5035

2009

Chepyzhov V., Pata V., Vishik M., Averaging of 2D Navier-Stokes equations with singularly oscillating forces. Nonlinearity. V.22. 2009. No. 2. P.351-370. http://www.iop.org/EJ/abstract/0951-7715/22/2/006/
Chepyzhov V., Vishik M., Trajectory attractor for reaction-diffusion system with a series of zero diffusion coefficients. Russian Journal of Mathematical Physics. V.16. 2009. N.2 P.208-227. http://dx.doi.org/10.1134/S1061920809020058
Vishik M., Chepyzhov V., Trajectory attractors of reaction-diffusion systems with small diffusion. Sbornik: Mathematics. V.200. 2009. N.4. P.471–497. http://mi.mathnet.ru/msb7298
Vishik M., Chepyzhov V., Trajectory attractor for reaction-diffusion system containing a small diffusion coefficient. Doklady Mathematics, Vol. 79, 2009, No. 2. P.443–446. http://www.springerlink.com/content/y2u17124ju146407/?p=e67024f2c1fb4c5dbb819cf48758dff0&pi=20

2008

Chepyzhov V., Pata V., Vishik M., Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Journal de Mathematiques Pures et Appliquees. V.90. 2008. P.469-491. http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6VMD-4SYJS9S-3&_user=10&_rdoc=1&_fmt=&_ori
Vishik M., Pata V., Chepyzhov V., Time Averaging of Global Attractors for Nonautonomous Wave Equations with Singularly Oscillating External Forces. Doklady Mathematics, 2008, Vol. 78, No. 2, pp. 689–692. http://www.springerlink.com/content/m18151378730786v/?p=79daafbe32ff43deb578de025ef606e2&pi=11
Chepyzhov V., Vishik M., Attractors for nonautonomous Navier–Stokes system and other partial differential equations. In the book: Instability in Models Connected with Fluid Flows, I. (C.Bardos, A.Fursikov eds.), International Mathematical Series, V.6, Springer. 2008, P.135-265.
Chepyzhov V., Vishik M., Trajectory attractors for dissipative 2d Euler and Navier-Stokes equations. Russian Journal of Mathematical Physics. V.15. 2008. N.2. P.156-170. http://www.springerlink.com/content/k248l62p77171857/?p=d524942591a24bddb8562be0f8f06fb8&pi=2

2007

Vishik M., Titi E.S., Chepyzhov V., On convergence of trajectory attractors of the 3D Navier–Stokes-α model as α approaches 0. Sbornik: Mathematics V.198. 2007. N.12. P.1703–1736. http://mi.mathnet.ru/msb3832
Chepyzhov V., Vishik M., Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Journal of Dynamics and Differential Equations. V.19. 2007. N.3. P.655-684. http://www.springerlink.com/content/2420863h24m65121/?p=2605a3cdd774480b9ac72128d742bc99&pi=5
Vishik M., Chepyzhov V., Trajectory Attractor for the 2d Dissipative Euler Equations and Its Relation to the Navier–Stokes System with Vanishing Viscosity. Doklady Mathematics, Vol. 76, 2007, No. 3, pp. 856–860. http://www.springerlink.com/content/kgt1n8l3t7u0p41q/?p=aeb6ef1b5a2948aa8489be682a352c35&pi=12
Vishik M., Chepyzhov V., The Global Attractor of the Nonautonomous 2D Navier–Stokes System with Singularly Oscillating External Force. Doklady Mathematics, Vol. 75, 2007, No. 2, pp. 236–239. http://www.springerlink.com/content/u7w084j254286852/?p=ee7a620035ef40a6a968df483de2b2fd&pi=15
Chepyzhov V., Titi E.S., Vishik M., On the convergence of solutions of the Leray-alpha model to the trajectory attractor of the 3D Navier-Stokes system. Discrete and Continuous Dynamical Systems. 17. 2007. N.3. P.481-500. http://aimsciences.org/journals/displayArticles.jsp?paperID=2119

2006

Chepyzhov V., Mainini E., Pata V., Stability of abstract linear semigroups arising from heat conduction with memory. Asymptotic Analysis. V.50. 2006. P.269-291. http://iospress.metapress.com/content/3jpd0flupkq0w9jb/?p=628c28725b6c484da4793bae17ad5f89&pi=0
Chepyzhov V., Gatti S., Grasselli M., Miranville A., Pata V., Trajectory and global attractors for evolution equations with memory. Applied Mathematics Letters. 19. 2006. P.87-96.
Chepyzhov V., Pata V., Some remarks on stability of semigroups arising from linear viscoelasticity. Asymptotic Analysis. V.46. 2006, P.251-273. http://iospress.metapress.com/content/bywl5be20hl8kkwd/?p=5469d6f8b62643c7b7322fc2b1e98698&pi=2
Chepyzhov V., Miranville A., On trajectory and global attractors for semilinear heat equations with fading memory. Indiana University Mathematics Journal. V.55. 2006. N.1. P.119-167.
Vishik M., Chepyzhov V., Attractors of Dissipative Hyperbolic Equations with Singularly Oscillating External Forces. Mathematical Notes, vol. 79, 2006, no. 4, pp. 483–504. http://mi.mathnet.ru/mz2722

2005

Chepyzhov V., A.Yu. Goritsky , Integral manifolds for the sine-Gordon equation and their averaging. Multi Scale Problems and Asymptotic Analysis. GAKUTO International Series, Math. Sci. Appl. V.24. 2005. P.63-78.
Chepyzhov V., Vishik M., Global attractors for non-autonomous Ginzburg-Landau equation with singularly oscillating terms. Rendiconti Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicacioni. V.XXIX. 2005. fasc.1. P.123-148.
Chepyzhov V., Miranville A., Trajectory and global attractors of dissipative hyperbolic equations with memory. Communications on Pure and Applied Analysis. V.4. N.1. 2005. P.115-142.
Vishik M., Chepyzhov V., Non-autonomous Ginzburg-Landau equation and its attractors. Sbornik Mathematics. V.196. 2005. N.6. P.791-815.
Vishik M., Chepyzhov V., Trajectory attractor of non-autonomous Ginzburg-Landau equation. Doklady Mathematics. V.71. 2005. N.3. P.353-356.
Vishik M., Titi E.S., Chepyzhov V., Trajectory Attractor Approximation of the 3D Navier–Stokes System by a Leray-a Model. Doklady Mathematics, Vol. 71, 2005, No. 1, pp. 92–95.
Goritsky A.Yu., Chepyzhov V., Dichotomy property of solutions of quasilinear equations in problems on inertial manifolds. Sbornik: Mathematics. V.196. 2005. N.4 P.485–511.
Chepyzhov V., Vishik M., Goritsky A.Yu., Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation // Russian Journal of Mathematical Physics. V.12. N.1. 2005. P.17-79.
Chepyzhov V., Vishik M., Wendland W.L., On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Discrete and Continuous Dynamical Systems. V.12. .2005. N.1. P.27-38.

2004

Chepyzhov V., Kolmogorov epsilon-entropy for global attractors of dynamical systems. D.Sc. dissertation
Chepyzhov V., Ilyin A.A., On the fractal dimension of invariant sets; applications to Navier-Stokes equations. Discrete and Continuous Dynamical Systems V.10. 2004. N.1&2. P.117-135.

2003

Vishik M., Chepyzhov V., Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time. Sbornik: Mathematics 194. 2003. N.9. P.1273–1300.
Vishik M., Chepyzhov V., Kolmogorov Epsilon-Entropy in the Problems on Global Attractors for Evolution Equations of Mathematical Physics. Problems of Information Transmission, Vol. 39, No. 1, 2003, pp. 2-20.

2002

Chepyzhov V., ε-entropy pour des équations non autonomes de la physique mathématique.— Université de Poitiers, Département de Mathématiques, Preprint N.165, 2002. P.1—7.
Vishik M., Chepyzhov V., Trajectory and Global Attractors of Three-Dimensional Navier–Stokes Systems. Mathematical Notes, vol. 71, 2002, no. 2, pp. 177–193.
Chepyzhov V., Vishik M., Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems. ESAIM Control Optim. Calc. Var. V.8. 2002. P.467-487.
Chepyzhov V., Vishik M., Attractors for Equations of Mathematical Physics. American Mathematical Society, Providence, RI, 2002, 363 p.

2001

Chepyzhov V., Vishik M., Averaging of trajectory attractors of evolution equations with rapidly oscillating coefficients. Funct. Diff. Equations. V.8. 2001. N.1-2. P.123-140.
Chepyzhov V., A.A.Ilyin, A note on the fractal dimension of attractors of dissipative dynamical systems. Nonlinear Analysis. V.44. 2001. N.6. P.811-819.
Chepyzhov V., Vishik M., Global attractor and its perturbations for a dissipative hyperbolic equation. Russian Journal of Mathematical Physics. V.8. 2001. N3. P.311-330.
Vishik M., Chepyzhov V., Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Sbornik: Mathematics. V.192. 2002. N.1. P.11–47.
Chepyzhov V., Johansson T., Smeets B., A simple algorithm for fast correlation attacks on stream ciphers. Fast software encryption. 7th international workshop, FSE 2000, New York, NY, USA, April 10-12, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1978, 181-195 (2001).

2000

Chepyzhov V., Vishik M., Averaging of trajectory attractors of evolution equations with rapidly oscillating terms. Max-Plank-Institut fur Mathematik in den Naturwissenschaften. Preprint N 49. Lepzig. 2000. P.1-38.
Chepyzhov V., Efendiev M.A., Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: an example. Comm. Pure Appl. Math. V.53. 2000. N.5. P.647-665.
Chepyzhov V., Kolmogorov epsilon-entropy of attractors of non-autonomous evolution equations. In the book: International Conference on Differential Equations. V.1. Edited by B.Fiedler, K.Gröger, and J.Sprekels. World Scientific. 2000, P.659-664.

1999

Chepyzhov V., Vishik M., Perturbation of trajectory attractors for dissipative hyperbolic equations. Operator Theory: Advances and Applications. V.110. 1999. P.33-54.
Chepyzhov V., Goritsky A.Yu., Explicit construction of integral manifolds with exponential tracking. Applicable Analysis. V.71. 1999. N.1-4. P.237-252. http://www.informaworld.com/smpp/content~db=all?content=10.1080/00036819908840715

1998

Zigangirov D., Popov S.A., Chepyzhov V., Implementation of Convolutional Decoding Algorithms in CDMA Systems. Problems of Information Transmission. V.34. 1998. N.1. P.25–38. http://mi.mathnet.ru/ppi393
Vishik M., Chepyzhov V., Kolmogorov epsilon-entropy estimates for the uniform attractors of non-autonomous reaction-di usion systems. Sbornik: Mathematics V.189. 1998. N.2. P.235-263.

1997

Chepyzhov V., Goritsky A.Yu., Global integral manifolds with exponential tracking for nonautonomous equations. Russian Journal of Mathematical Physics. V.5. 1997. N.1. P.9-28.
Chepyzhov V., Vishik M., Evolution equations and their trajectory attractors. Journal de Mathématiques Pures et Appliquées. V.76. 1997, P.913-964.

1996

Vishik M., Chepyzhov V., Trajectory attractors of evolutionary equations without unique solvability of Cauchy problem. Moscow University Mathematics Bulletin. V.51. 1996. N.6. P.16-18.
Chepyzhov V., Vishik M., Trajectory attractors for 2D Navier-Stokes system and some generalizations. Max-Plank-Institute fur Mathematics, Bonn, 1996, Preprint MPI 96-134 P. 1-27.
Chepyzhov V., Vishik M., Trajectory attractors for 2D Navier-Stokes systems and some generalizations. Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center. V.8. 1996. P.217-243. http://www-users.mat.uni.torun.pl/~tmna/files/v08n2-01.pdf

1995

Vishik M., Chepyzhov V., Attractors of periodic processes and estimates of their dimension. Math. Notes. V.57. 1995. N.2. P.127-140. http://www.springerlink.com/content/47mq875k18531120/
Chepyzhov V., Vishik M., Trajectory attractors for evolution equations. C.R.Acad.Sci. Paris. Série I. V.321. 1995. P.1309-1314.
Chepyzhov V., Vishik M., Non-autonomous evolutionary equations with translation-compact symbols and their attractors. C.R.Acad.Sci. Paris. Série I. V.321. 1995. P.153-158.
Chepyzhov V., Vishik M., Attractors of non-autonomous evolution equations with translation-compact symbols. Operator Theory: Advances and Applications. V.78. 1995. Bikhäuseer Verlag Basel/Switzerland. P.49-60.
Chepyzhov V., Popov A., Zigangirov K., Implementation and some applications of the algebraic-sequential decoder. Seventh Joint Swedish-Russian International Workshop on Information Theory, Proceedings, June 17-22, 1995, St.-Petersburg, P.60-67.
Zigangirov K., Popov A.S., Chepyzhov V., Nonbinary convolutional coding in channels with jamming. Problems of Information Transmission. V.31. 1995. N.2. P.169–183 http://mi.mathnet.ru/ppi278

1994

Chepyzhov V., Vishik M., Periodic processes and non-autonomous evolution equations with time-periodic terms. Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center. V.4. 1994. P.1-17. http://www-users.mat.umk.pl/~tmna/htmls/archives/vol-4-1.html
Chepyzhov V., Vishik M., Attractors of non-autonomous dynamical systems and their dimension. Journal de Mathématiques Pures et Appliquées. V.73. 1994. N.3. P.279-333.
Chepyzhov V., Vishik M., Non-autonomous evolutionary equations with translation-compact symbols and their attractors. Centre de Recerca Matematica, Insitut d"Eestudis Catelans, Spain, Preprint N 275, 1994. P.1-6.
Chepyzhov V., Vishik M., Attractors of non-autonomous partial differential equations and their dimension. Equadiff 8 (Bratislava, 1993). Tatra Mt. Math. Publ. V.4. 1994, P.221-234. http://tatra.mat.savba.sk/

1993

Chepyzhov V., Vishik M., Non-autonomous dynamical systems and their kernels. Preprint, ISSN 0347-8475, ISRN LUNFD6/NFMA-5003-SE, University of Lund, Sweden, 1993. P.1-20.
Chepyzhov V., Vishik M., A Hausdorff dimension estimate for kernel sections of non-autonomous evolution equations. Indiana University Mathematical Journal, V.42. 1993. N.3. P.1058-1076.
Chepyzhov V., Vishik M., Non-autonomous evolution equations and there attractors. Russian Journal of Mathematical Physics. V.1. 1993. N2. P.165-190.
Chepyzhov V., Vishik M., Attractors for nonautonomous evolution equations with almost periodic symbols. C. R. Acad. Sci. Paris, Ser. I, Math. V.316. 1993. N.4. P.357-361.
Chepyzhov V., Vishik M., Families of semiprocesses and their attractors. C. R. Acad. Sci. Paris, Ser. I, Math. V.316. 1993. N.5. P.441-445.
Chepyzhov V., Vishik M., Dimension estimates for attractors and for kernel sections of nonautonomous evolution equations. C. R. Acad. Sci. Paris, Ser. I. Math. V.317. 1993. N.4. P.365-370.
Chepyzhov V., Zigangirov K., A Gilbert-Varshamov bound for Quasi-Twisted codes of rate 1/n. Sixth Joint Swedish-Russian International Workshop on Information Theory, Proceedings, August 22-27, 1993, Molle, Sweden, P.214-218.
Chepyzhov V., Popov S.A., Zigangirov K., Performance of q-ary convolutional codes on jamming channels. Sixth Joint Swedish-Russian International Workshop on Information Theory, Proceedings, August 22-27, 1993, Molle, Sweden, P.38-41.

1992

Chepyzhov V., Smeets B., Zigangirov K., The free distance of fixed convolutional rate 2/4 codes meets the Costello bound. Trans. IEEE on Inf. Theory. V.IT-38. 1992. N.4. P.1360-1366. http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=144717
Chepyzhov V., New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes. Problems of Information Transmission. V.28. 1992. N.1. P.33–44. http://mi.mathnet.ru/ppi1335
Chepyzhov V., Vishik M., Non-autonomous dynamical systems and there attractors. In: M.I.Vishik. Asymptotic Behavior of Solutions of Evolutionary Equations, Cambridge University Press, 1992.
Chepyzhov V., Vishik M., Non-autonomous evolution equations with almost periodic symbols. Rendiconti del Seminario mathematico e fisco di Milano. V. LXII. 1992, P.185-213. http://dx.doi.org/10.1007/BF02925443
Vishik M., Chepyzhov V., Attractors of nonautonomous dynamical systems and an estimation of their dimension. Math. Notes V.51. 1992. No.6. P.622-624. http://mi.mathnet.ru/mz4641
Chepyzhov V., Vishik M., Non-autonomous infinite-dimensional dynamical systems and there attractors. Preprint, LiTH-MAT-R-92-16, Linkoping University, Sweden,1992, P.1-24.
Chepyzhov V., Goritsky A.Yu., Unbounded attractors of evolution equations. In: Properties of Global Attractors of Partial Differential Equations. In Series: Advances of Soviet Mathematics. New York, 1992, pp. 85-128.

1991

Chepyzhov V., Vishik M., Non-autonomous infinite-dimensional dynamical systems and there attractors. Proceedings of the Conference on Dynamical Systems and Differential Equations and their Applications. Linkoping University, 1991.
Chepyzhov V., Smeets B., On A Fast Correlation Attack on Certain Stream Ciphers. Advances in Criptology, EUROCRYPT"91, Lectures Notes in Computer Sciences, V.547, Springer-Verlag, 1991, P.176-195.
Zigangirov K., Chepyzhov V., Existence of time-invariant convolutional codes with transmission rate $2/c$ for $c geq{}4$ attaining the Costello bound. Probl. Inf. Transm. V.27. 1991. No.3. P.199-211. http://mi.mathnet.ru/ppi567
Chepyzhov V., New lower bounds for minimal distance of quasi-cyclic and almost linear cyclic codes rate 1/n. Fifth Joint Swedish-Soviet International Workshop on Informational Theory. Convolutional Codes; Multi-Users Communication. January 13-19, 1991, Moscow, USSR, P. 42-45.

1989

Chepyzhov V., Zigangirov K., Study of decoding tail biting convolutional codes. Fourth Joint Swedish-Soviet International Workshop on Informational Theory, August 27 - September 1, 1989, Gotland, Sweden, P.52-55.

1988

Chepyzhov V., Unbounded attractors of some parabolic systems of differential equations and estimates of their dimension. Sov. Math., Dokl. V.38. 1989 No.1, P.39-42.

1987

Chepyzhov V., On unbounded invariant sets and attractors of some quasilinear equations and systems of parabolic type. Russian Mathematical Surveys. V.42.1987. N.5. P.167-168. http://mi.mathnet.ru/umn2633

1986

Chepyzhov V., Unbounded attractor of a quasilinear parabolic equation. Mosc. Univ. Math. Bull. V.41. 1986. No.6. P.38-40.