Results 1 to 10 of about 206 (175)

Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]

The Scientific World Journal, 2014
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang, Xiaosong Wang, Juntao Li, Lingrui Zhang   +3 more
doaj   +2 more sources

Existence of pullback attractors for pullback asymptotically compact processes [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 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 evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Felipe Rivero, JOSÉ A Langa, Alexandre Carvalho   +2 more
exaly   +4 more sources

Pullback attractors of the Jeffreys–Oldroyd equations [PDF]

Journal of Differential Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanislav Kondratyev, VÍCTOR Zvyagin
exaly   +4 more sources

The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]

The Scientific World Journal, 2016
First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
doaj   +2 more sources

Pullback exponential attractors

Discrete and Continuous Dynamical Systems, 2010
In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
JOSÉ A Langa, JOSÉ Real
exaly   +2 more sources

Minimality Properties of Set-Valued Processes and their Pullback Attractors [PDF]

SIAM Journal on Mathematical Analysis, 2015
We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect to the notion of pullback attraction. When invariance is required, a very weak closed graph condition
Michele Coti Zelati, Piotr Kalita
exaly   +5 more sources

Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation 𝑢𝑡−𝜀Δ𝑢𝑡−Δ𝑢+𝑓(𝑢)=𝑔(𝑥,𝑡),𝜀∈(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the ...
Cung The Anh, Nguyen Duong Toan
doaj   +3 more sources

Continuity of selected pullback attractors [PDF]

Partial Differential Equations and Applications, 2021
In this work we obtain theoretical results on continuity of selected pullback attractors and we apply them to reaction diffusion equations with dynamical boundary ...
Rodrigo A. Samprogna, Jacson Simsen
openaire   +3 more sources

Dynamics of Non-Autonomous Stochastic Semi-Linear Degenerate Parabolic Equations with Nonlinear Noise

Mathematics, 2023
In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
doaj   +1 more source

Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$

Boundary Value Problems, 2020
Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012),
Xiaobin Yao
doaj   +1 more source