Nonautonomous dynamical systems provide a mathematical framework for temporally
changing phenomena, where the law of evolution varies in time due to seasonal …

Abstract CONTENTS Introduction § 1. Principal examples § 2. Global attractor. Existence
theorems § 3. Structure of a global attractor. Regularity conditions § 4. The finite …

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 …

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 …

We show that two fully discrete nonlinear Galerkin schemes based on explicit approximate
inertial manifolds preserve the dissipativity of the Kuramoto-Sivashinsky equation (KSE) …

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 …

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 …

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 …

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 …

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 …