Zobrazeno 1 - 10 of 41 pro vyhledávání: '"Alexei Ilyin"'
3
Trajectory attractors for 3D damped Euler equations and their approximation
Autor: Alexei Ilyin, Anna Kostianko, Sergey Zelik
We study the global attractors for the damped 3D Euler–Bardina equations with the regularization parameter \begin{document}$ \alpha>0 $\end{document} and Ekman damping coefficient \begin{document}$ \gamma>0 $\end{document} endowed with periodic bou
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89a7e0fd5b7e0e65ab3291daa7033224
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4
Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations
Autor: Alexei Ilyin, Anna Kostianko, Sergey Zelik
Publikováno v: Physica D: Nonlinear Phenomena. 432:133156
The dependence of the fractal dimension of global attractors for the damped 3D Euler--Bardina equations on the regularization parameter $\alpha>0$ and Ekman damping coefficient $\gamma>0$ is studied. We present explicit upper bounds for this dimensio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e64ff80be97102b2e6ec02a166733bb
https://doi.org/10.1016/j.physd.2022.133156
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5
Lieb-Thirring constant on the sphere and on the torus
Autor: Alexei Ilyin, Sergey Zelik, Ari Laptev
We prove on the sphere S 2 and on the torus T 2 the Lieb–Thirring inequalities with improved constants for orthonormal families of scalar and vector functions.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2580efb37edeaf7eb32cbbd331bb958e
http://hdl.handle.net/10044/1/85383
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6
Hyperbolic relaxation of the 2D Navier–Stokes equations in a bounded domain
Autor: Yuri Germanovich Rykov, Sergey Zelik, Alexei Ilyin
Publikováno v: Physica D: Nonlinear Phenomena. :171-179
A hyperbolic relaxation of the classical Navier–Stokes problem in 2D bounded domain with Dirichlet boundary conditions is considered. It is proved that this relaxed problem possesses a global strong solution if the relaxation parameter is small and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d71ca2673355e43c267ac3636d612e2
https://doi.org/10.1016/j.physd.2017.09.008
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10
Strong trajectory and global \begin{document} $\mathbf{W^{1,p}}$ \end{document}-attractors for the damped-driven Euler system in \begin{document} $\mathbb R^2$ \end{document}
Autor: Sergey Zelik, Vladimir V. Chepyzhov, Alexei Ilyin
Publikováno v: Discrete & Continuous Dynamical Systems - B. 22:1835-1855
We consider the damped and driven two-dimensional Euler equations in the plane with weak solutions having finite energy and enstrophy. We show that these (possibly non-unique) solutions satisfy the energy and enstrophy equality. It is shown that this
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f9e03141dfde1fb3fcfb02c5dd8e3640
https://doi.org/10.3934/dcdsb.2017109
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