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PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2011-06-20)
We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary ...
Pullback attractors for a singularly nonautonomous plate equation
(2011-07-22)
We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is ...
PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2011-06-20)
We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary ...
Global attractor for a model of extensible beam with nonlinear damping and source terms
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
This paper is concerned with the existence of a global attractor for the nonlinear beam equation, with nonlinear damping and source terms, u(tt) + Delta(2)u -M (integral(Omega)vertical bar del u vertical bar(2)dx) Delta u ...
Structure of attractors for skew product semiflows
(Academic PressElsevierSan Diego, 2014-07-15)
In this work we study the continuity and structural stability of the uniform attractor associated with non-autonomous perturbations of differential equations. By a careful study of the different definitions of attractor ...
Existence of pullback attractors for pullback asymptotically compact processes
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) (i) An autonomous ...
Long-time dynamics of an extensible plate equation with termal memory
(ElsevierSan Diego, 2014-08-01)
This work is concerned with long-time dynamics of solutions of extensible plate equations with thermal memory. The problem corresponds to a model of thermoelasticity based on a theory of non-Fourier heat flux. By considering ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...
Uniform exponential dichotomy and continuity of attractors for singularly perturbed damped wave equations
(Springer, 2006-07-01)
For eta >= 0, we consider a family of damped wave equations u(u) + eta Lambda 1/2u(t) + au(t) + Lambda u = f(u), t > 0, x is an element of Omega subset of R-N, where -Lambda denotes the Laplacian with zero Dirichlet boundary ...
A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper we consider the strongly damped wave equation with time-dependent terms u(tt) - Delta u - gamma(t)Delta u(t) + beta(epsilon)(t)u(t) = f(u), in a bounded domain Omega subset of R(n), under some restrictions ...