[图书][B] Geometric theory of discrete nonautonomous dynamical systems
C Pötzsche - 2010 - books.google.com
Nonautonomous dynamical systems provide a mathematical framework for temporally
changing phenomena, where the law of evolution varies in time due to seasonal …
changing phenomena, where the law of evolution varies in time due to seasonal …
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 …
Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
F Armero, JC Simo - Computer Methods in Applied Mechanics and …, 1996 - Elsevier
This paper examines the long-term dissipativity and unconditional non-linear stability of time
integration algorithms for the incompressible MHD equations. The results apply as a …
integration algorithms for the incompressible MHD equations. The results apply as a …
Dissipativity of numerical schemes
C Foias, MS Jolly, IG Kevrekidis, ES Titi - Nonlinearity, 1991 - iopscience.iop.org
The authors show that the way in which finite differences are applied to the nonlinear term in
certain partial differential equations (PDES) can mean the difference between dissipation …
certain partial differential equations (PDES) can mean the difference between dissipation …
On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation
C Foias, MS Jolly, IG Kevrekidis, ES Titi - Physics Letters A, 1994 - Elsevier
We show that two fully discrete nonlinear Galerkin schemes based on explicit approximate
inertial manifolds preserve the dissipativity of the Kuramoto-Sivashinsky equation (KSE) …
inertial manifolds preserve the dissipativity of the Kuramoto-Sivashinsky equation (KSE) …
[PDF][PDF] Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and L1-data
A Sabri, A Jamea, HT Alaoui - Communications in Mathematics, 2020 - cm.episciences.org
In the present paper, we prove existence results of entropy solutions to a class of nonlinear
degenerate parabolic p (·)-Laplacian problem with Dirichlet-type boundary conditions and L …
degenerate parabolic p (·)-Laplacian problem with Dirichlet-type boundary conditions and L …
Finite element approximation of the fast diffusion and the porous medium equations
C Ebmeyer, WB Liu - SIAM journal on numerical analysis, 2008 - SIAM
1The fast diffusion equation u_t=Δ(|u|^m-1u)(0<m<1) and the porous medium equation
(1<m<∞) are studied in a parabolic cylinder Ω*(0,T). A fully discrete Galerkin approximation …
(1<m<∞) are studied in a parabolic cylinder Ω*(0,T). A fully discrete Galerkin approximation …
[PDF][PDF] Existence and regularity of a global attractor for doubly nonlinear parabolic equations.
A El Hachimi, H El Ouardi - Electronic Journal of Differential Equations …, 2002 - eudml.org
In this paper we consider a doubly nonlinear parabolic partial differential equation∂ β∂ t
(u)-∆ pu+ f (x, t, u)= 0 inΩ× R+, with Dirichlet boundary condition and initial data given. We …
(u)-∆ pu+ f (x, t, u)= 0 inΩ× R+, with Dirichlet boundary condition and initial data given. We …
[PDF][PDF] Nonlinear parabolic problems with Neumann-type boundary conditions and L^ 1-data
A ElHachimi, A Jamea - Electronic Journal of Qualitative Theory of …, 2007 - real.mtak.hu
In this paper, we study existence, uniqueness and stability questions for the nonlinear
parabolic equation:∂ u∂ t−△ pu+ α (u)= f in] 0, T [× Ω, with Neumann-type boundary …
parabolic equation:∂ u∂ t−△ pu+ α (u)= f in] 0, T [× Ω, with Neumann-type boundary …
Existence of entropy solutions to nonlinear parabolic problems with variable exponent and -data
A Jamea, AA Lamrani, A El Hachimi - Ricerche di Matematica, 2018 - Springer
In the present paper we prove existence results of entropy solutions to a class of nonlinear
parabolic p (.)-Laplacian problem with Neumann-type boundary conditions and L^ 1 L 1 …
parabolic p (.)-Laplacian problem with Neumann-type boundary conditions and L^ 1 L 1 …