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Found 49 Documents (Results 1–49)

Regular attractors of autonomous and nonautonomous dynamical systems. (English) Zbl 1307.37012

Dokl. Math. 89, No. 1, 92-97 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 512-517 (2014).
MSC:  37C60 37C70 70K60
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The global attractor of the nonautonomous \(2D\) Navier-Stokes system with singularly oscillating external force. (English. Russian original) Zbl 1166.35310

Dokl. Math. 75, No. 2, 236-239 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 3, 301-304 (2007).
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Trajectory attractor for the \(2d\) dissipative Euler equations and its relation to the Navier-Stokes system with vanishing viscosity. (English. Russian original) Zbl 1387.35062

Dokl. Math. 76, No. 3, 856-860 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 3, 303-307 (2007).
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On convergence of trajectory attractors of the 3D Navier-Stokes-\(\alpha \) model as \(\alpha \) approaches 0. (English. Russian original) Zbl 1137.37037

Sb. Math. 198, No. 12, 1703-1736 (2007); translation from Mat. Sb. 198, No. 12, 3-26 (2007).
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Integral manifolds for the sine-Gordon equation and their averaging. (English) Zbl 1219.35223

Damlamian, A. (ed.) et al., Multi-scale problems and asymptotic analysis. Proceedings of the midnight sun Narvik conference (satellite conference of the fourth European congress of mathematics), Narvik, Norway, June 22–26, 2004. Tokyo: Gakkōtosho (ISBN 4-7625-0433-5/hbk). GAKUTO International Series. Mathematical Sciences and Applications 24, 63-78 (2006).
MSC:  35Q53 35B42 37K05
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Attractors of dissipative hyperbolic equations with singularly oscillating external forces. (English) Zbl 1124.37046

Math. Notes 79, No. 4, 483-504 (2006); translation from Mat. Zametki 79, No. 4, 522-545 (2006).
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Kolmogorov \(\varepsilon\)-entropy in the problems on global attractors for evolution equations of mathematical physics. (English. Russian original) Zbl 1072.37056

Probl. Inf. Transm. 39, No. 1, 2-20 (2003); translation from Prob. Peredachi Inf. 39, No. 1, 4-23 (2003).
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Approximation of trajectories lying on a global attractor of a hyperbolic equation with an exterior force that oscillates rapidly over time. (English. Russian original) Zbl 1077.37048

Sb. Math. 194, No. 9, 1273-1300 (2003); translation from Mat. Sb. 194, No. 9, 3-30 (2003).
MSC:  37L30
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Attractors for equations of mathematical physics. (English) Zbl 0986.35001

Colloquium Publications. American Mathematical Society. 49. Providence, RI: American Mathematical Society (AMS). xi, 363 p. (2002).
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Kolmogorov \(\varepsilon\)-entropy of attractors of non-autonomous evolution equations. (English) Zbl 0974.37052

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 659-664 (2000).
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Kolmogorov \(\varepsilon\)-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems. (English. Russian original) Zbl 0915.35056

Sb. Math. 189, No. 2, 81-110 (1998); translation from Mat. Sb. 189, No. 2, 235-263 (1998).
MSC:  35K57 35B40 37C70
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Trajectory attractors of evolutionary equations without unique solvability of Cauchy problem. (English. Russian original) Zbl 0908.35096

Mosc. Univ. Math. Bull. 51, No. 6, 16-18 (1996); translation from Vestn. Mosk. Univ., Ser. I 1996, No. 6, 27-30 (1996).
MSC:  35Q30 37C70 76D05
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