[图书][B] Infinite-dimensional dynamical systems: an introduction to dissipative parabolic PDEs and the theory of global attractors
JC Robinson - 2001 - books.google.com
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 …
reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated …
[PDF][PDF] Finite dimensional attractor for one-dimensional Keller-Segel equations
K Osaki, A Yagi - Funkcialaj ekvacioj serio internacia, 2001 - fe.math.kobe-u.ac.jp
In this paper, we study the long time behavior of a one-dimensional reaction diffusion system
appearing in mathematical biology by using the theory of infinite dimensional dynamical …
appearing in mathematical biology by using the theory of infinite dimensional dynamical …
[图书][B] Nonlinear evolution equations
S Zheng - 2004 - taylorfrancis.com
Nonlinear evolution equations arise in many fields of sciences including physics,
mechanics, and material science. This book introduces some important methods for dealing …
mechanics, and material science. This book introduces some important methods for dealing …
[图书][B] Global attractors in abstract parabolic problems
JW Cholewa, T Dlotko - 2000 - books.google.com
Dissipative equations have attracted substantial attention over many years. Much progress
has been achieved in this area using a combination of both finite dimensional and infinite …
has been achieved in this area using a combination of both finite dimensional and infinite …
On the strongly damped wave equation
V Pata, M Squassina - Communications in mathematical physics, 2005 - Springer
We prove the existence of the universal attractor for the strongly damped semilinear wave
equation, in the presence of a quite general nonlinearity of critical growth. When the …
equation, in the presence of a quite general nonlinearity of critical growth. When the …
[图书][B] Nonlinear parabolic equations and hyperbolic-parabolic coupled systems
S Zheng - 2020 - taylorfrancis.com
This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of
smooth solutions to both initial value problems and initial boundary value problems for …
smooth solutions to both initial value problems and initial boundary value problems for …
Finite dimensional exponential attractor for the phase field model
D Brochet, D Hilhorst, X Chen - Applicable Analysis, 1993 - Taylor & Francis
Finite dimensional exponential attractor for the phase field model Page 1 Applicnble Amlysis,
Vo1.49, pp. 197-212 Repnnts available directly from the publisher Photocopying permitted by …
Vo1.49, pp. 197-212 Repnnts available directly from the publisher Photocopying permitted by …
Global attractors for non-linear problems of mathematical physics
ID Chueshov - Russian Mathematical Surveys, 1993 - iopscience.iop.org
Abstract CONTENTS Introduction § 1. Principal examples § 2. Global attractor. Existence
theorems § 3. Structure of a global attractor. Regularity conditions § 4. The finite …
theorems § 3. Structure of a global attractor. Regularity conditions § 4. The finite …
Exponential attractors for extensible beam equations
A Eden, AJ Milani - Nonlinearity, 1993 - iopscience.iop.org
The authors establish a global fast dynamics for a class of equations that include the beam
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
equations as studied by Ball (1973) and von Karman equations for a thin plate. They …
Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation
E Nakaguchi, K Osaki - Discrete and Continuous Dynamical …, 2013 - aimsciences.org
We construct the global bounded solutions and the attractors of a parabolic-parabolic
chemotaxis-growth system in two-and three-dimensional smooth bounded domains. We …
chemotaxis-growth system in two-and three-dimensional smooth bounded domains. We …