Attractors for dissipative partial differential equations in bounded and unbounded domains

A Miranville, S Zelik - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

[图书][B] Attractors for infinite-dimensional non-autonomous dynamical systems

A Carvalho, JA Langa, J Robinson - 2012 - books.google.com
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

Pullback attractors for asymptotically compact non-autonomous dynamical systems

T Caraballo, G Łukaszewicz, J Real - Nonlinear Analysis: Theory, Methods …, 2006 - Elsevier
First, we introduce the concept of pullback asymptotically compact non-autonomous
dynamical system as an extension of the similar concept in the autonomous framework. Our …

Random attractors for non-autonomous stochasticwave equations with multiplicative noise

B Wang - Discrete and continuous dynamical systems, 2013 - aimsciences.org
This paper is concerned with the asymptotic behavior of solutions of the damped non-
autonomous stochastic wave equations driven by multiplicative white noise. We prove the …

Quantum yang-mills theory

A Jaffe, E Witten - The millennium prize problems, 2006 - books.google.com
Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

[HTML][HTML] Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations

Y Li, A Gu, J Li - Journal of Differential Equations, 2015 - Elsevier
A concept of a bi-spatial random attractor for a random dynamical system is introduced. A
unified result about existence and upper semi-continuity for a family of bi-spatial random …

Attractors for 2D-Navier–Stokes models with delays

T Caraballo, J Real - Journal of Differential Equations, 2004 - Elsevier
The existence of an attractor for a 2D-Navier–Stokes system with delay is proved. The theory
of pullback attractors is successfully applied to obtain the results since the abstract functional …

Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains

T Caraballo, B Guo, NH Tuan, R Wang - Proceedings of the Royal …, 2021 - cambridge.org
This paper is concerned with the asymptotic behaviour of solutions to a class of non-
autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative …

[图书][B] Applied nonautonomous and random dynamical systems: applied dynamical systems

T Caraballo, X Han - 2017 - books.google.com
This book offers an introduction to the theory of non-autonomous and stochastic dynamical
systems, with a focus on the importance of the theory in the Applied Sciences. It starts by …

Attractors of non-autonomous stochastic lattice systems in weighted spaces

PW Bates, K Lu, B Wang - Physica D: Nonlinear Phenomena, 2014 - Elsevier
We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …