"This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorou…
Infinite-dimensional dynamical systems
by ProQuest (Firm), Guo, Boling, Ling, Liming, Ma, Yansheng, Yang, Hui
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combinati…
Infinite-Dimensional Dynamical Systems
by Guo, Boling, Ling, Liming, Ma, Yansheng, Yang, Hui
Infinite-dimensional dynamical systems
by Guo, Boling, Ling, Liming, Ma, Yansheng, Yang, Hui
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combinati…
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dime…