Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics

DOI10.1070/RM2013v068n02ABEH004832zbMath1278.35024OpenAlexW1995529093MaRDI QIDQ5327406

Vladimir V. Chepyzhov

Publication date: 7 August 2013

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2013v068n02abeh004832

zbMATH Keywords

uniform global attractorsnon-autonomous partial differential equationsdynamical processes and semiprocessestranslation-compact functions

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70) Navier-Stokes equations (35Q30)

Related Items (11)

Chaotic and non-chaotic strange attractors of a class of non-autonomous systems ⋮ Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations ⋮ Kolmogorov \(\varepsilon\)-entropy of the uniform attractor for a wave equation ⋮ Asymptotic behaviour of a non-autonomous Lorenz-84 system ⋮ On global in time dynamics of a planar Bingham flow subject to a subdifferential boundary condition ⋮ Convergence of non-autonomous attractors for subquintic weakly damped wave equation ⋮ Dynamics of a class of fractional-order nonautonomous Lorenz-type systems ⋮ Approximate forward attractors of non-autonomous dynamical systems ⋮ Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity ⋮ On the omega-limit sets of planar nonautonomous differential equations with nonpositive Lyapunov exponents ⋮ Strong uniform attractors for non-autonomous dissipative PDEs with non translation-compact external forces

Cites Work

• A minimal approach to the theory of global attractors
• Infinite-dimensional dynamical systems in mechanics and physics
• Nonautonomous evolution equations and their attractors
• On the damped semilinear wave equation with critical exponent
• Attractors of non-autonomous dynamical systems and their dimension
• A remark on the damped wave equation
• On behavior as \(t\to +\infty\) of solutions of some nonautonomous equations
• A damped hyerbolic equation with critical exponent
• On the determination of minimal global attractors for the Navier-Stokes and other partial differential equations
• Joint sessions of the Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics and of the Moscow Mathematical Society (seventeenth session, 24-27 January 1995)
• Dynamics of evolutionary equations
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