Title: Attractors for degenerate parabolic type equations /
Authors: Efendiev, Messoud,
Year: 2013
Subjects: Differential equations, Parabolic.; Degenerate differential equations.; Partial differential equations -- Parabolic equations and systems -- Nonlinear parabolic equations.; Partial differential equations -- Parabolic equations and systems -- Quasilinear parabolic equations.; Partial differential equations -- Parabolic equations and systems -- Degenerate parabolic equations.; Dynamical systems and ergodic theory -- Infinite-dimensional dissipative dynamical systems -- General theory, nonlinear semigroups, evolution equations.; Dynamical systems and ergodic theory -- Infinite-dimensional dissipative dynamical systems -- Attractors and their dimensions, Lyapunov exponents.
Contents: Auxiliary materials -- Global attractors for autonomous evolution equations -- Exponential attractors -- Porous medium equation in homogeneous media : Long-time dynamics -- Long time dynamics of p-Laplacian equations : homogeneous media -- Long-time dynamics of p-Laplacian equations : Heterogeneous media -- Doubly nonlinear degenerate parabolic equations -- On a class of PDEs with degenerate diffusion and chemotaxis : autonomous case -- On a class of PDEs with degenerate diffusion and chemotaxis : nonautonomous case -- ODE-PDE coupling arising in the modelling of a forest ecosystem.