Infinite-dimensional attractors for parabolic equations with \(p\)-Laplacian in heterogeneous medium

DOI10.1016/j.anihpc.2011.03.006zbMath1242.35159OpenAlexW1973128998MaRDI QIDQ719445

Mitsuharu Ôtani, Messoud A. Efendiev

Publication date: 10 October 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.03.006

zbMATH Keywords

\(p\)-Laplacianparabolicinfinite-dimensionaldegenerateheterogeneous medium\(\varepsilon \)-Kolmogorov entropy

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

Multiple equilibrium points in global attractors for some p-Laplacian equations ⋮ On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis ⋮ Theory of Invariant Manifolds for Infinite-Dimensional Nonautonomous Dynamical Systems and Applications ⋮ The existence of multiple equilibrium points in a global attractor for some \(p\)-Laplacian equation ⋮ The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems. II. ⋮ Global attractors for \(p\)-Laplacian differential inclusions in unbounded domains ⋮ The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems ⋮ Long-time behavior for a class of weighted equations with degeneracy ⋮ Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon ⋮ Unnamed Item ⋮ On the dimension of global attractors for porous media equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
• Degenerate parabolic equations
• On global attractor for nonlinear parabolic equations of \(m\)-Laplacian type
• Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain
• Global attractors for degenerate parabolic equations on unbounded domains
• L ∞-Energy Method, Basic Tools and Usage
• Finite- and infinite-dimensional attractors for porous media equations