Výsledky vyhledávání - "V. V. Chepyzhov"

Trajectory attractor of a reaction-diffusion system with a series of zero diffusion coefficients

Autor: V. V. Chepyzhov, Marko Iosifovich Vishik

Publikováno v: Russian Journal of Mathematical Physics. 16:208-227

We study a reaction-diffusion system of N equations with k nonzero and N − k zero diffusion coefficients. More exactly, the first k equations of the system contain the terms a i Δu i − f j (u, v), i = 1, …, k, with the diffusion coefficient a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::289a03474cfabbb2f2faffa1d78aa0a7
https://doi.org/10.1134/s1061920809020058

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Non-autonomous 2D Navier–Stokes System with Singularly Oscillating External Force and its Global Attractor

Autor: Marko Iosifovich Vishik, V. V. Chepyzhov

Publikováno v: Journal of Dynamics and Differential Equations. 19:655-684

We study the global attractor $$\mathcal{A}^{\varepsilon}$$ of the non-autonomous 2D Navier–Stokes (N.–S.) system with singularly oscillating external force of the form $$g_{0}(x,t)+\frac{1} {\varepsilon^{\rho }} g_{1} (\frac{x} {\varepsilon}, t)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c2f85326df13055d2e59521dfaa5e612
https://doi.org/10.1007/s10884-007-9077-y

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Attractors of dissipative hyperbolic equations with singularly oscillating external forces

Autor: Marko Iosifovich Vishik, V. V. Chepyzhov

Publikováno v: Mathematical Notes. 79:483-504

We study a uniform attractor $$\mathcal{A}^\varepsilon $$ for a dissipative wave equation in a bounded domain Ω ⋐ ℝn under the assumption that the external force singularly oscillates in time; more precisely, it is of the form g 0(x, t)+ e−α

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7169de1f707d1a9b10fcd1aeec7df697
https://doi.org/10.1007/s11006-006-0054-2

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Trajectory and global attractors of dissipative hyperbolic equations with memory

Autor: V. V. Chepyzhov, Alain Miranville

Publikováno v: Communications on Pure & Applied Analysis. 4:115-142

We consider in this article a general construction of trajectory attractors and global attractors of evolution equations with memory. In our approach, the corresponding dynamical system acts in the space of initial data of the Cauchy problem under st

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::71e7c8d81a49b99e8a3c6876fb7fe26e
https://doi.org/10.3934/cpaa.2005.4.115

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[Untitled]

Autor: Marko Iosifovich Vishik, V. V. Chepyzhov

Publikováno v: Problems of Information Transmission. 39:2-20

We study the Kolmogorov e-entropy and the fractal dimension of global attractors for autonomous and nonautonomous equations of mathematical physics. We prove upper estimates for the e-entropy and fractal dimension of the global attractors of nonlinea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::294afd91cff5aef485d8ed6fdf36f799
https://doi.org/10.1023/a:1023622313456

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Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems

Autor: V. V. Chepyzhov, Marko Iosifovich Vishik

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations. 8:467-487

We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force g(x,t) . We assume that g(x,t) is a translation compact function and the corresponding Grashof number is small. Then the global attractor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e258d0451a516e26f4514542524c2669
https://doi.org/10.1051/cocv:2002056

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Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example

Autor: V. V. Chepyzhov, M. A. Efendiev

Publikováno v: Communications on Pure and Applied Mathematics. 53:647-665

The subject of this paper is the asymptotic behavior of a class of nonautonomous, infinite-dimensional dynamical systems with an underlying unbounded domain. We present an approach that is able to overcome both the law of compactness of the trajector

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5973c23c4e7549daa8fce88fb76f5713
https://doi.org/10.1002/(sici)1097-0312(200005)53:5<647::aid-cpa5>3.0.co

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