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 …

Recent developments in dynamical systems: three perspectives

F Balibrea, T Caraballo, PE Kloeden… - International Journal of …, 2010 - World Scientific
RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES | International
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …

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] Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise

B Wang - Journal of Differential Equations, 2019 - Elsevier
This paper is concerned with the asymptotic behavior of the solutions of the fractional
reaction-diffusion equations with polynomial drift terms of arbitrary order driven by locally …

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 …

[HTML][HTML] Random dynamics of p-Laplacian lattice systems driven by infinite-dimensional nonlinear noise

R Wang, B Wang - Stochastic Processes and their Applications, 2020 - Elsevier
This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

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 …

Weak pullback attractors for mean random dynamical systems in Bochner spaces

B Wang - Journal of Dynamics and Differential Equations, 2019 - Springer
This paper is concerned with weak pullback mean random attractors for mean random
dynamical systems defined in Bochner spaces. We first introduce the concept of weak …