Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains
We study the asymptotic behavior of solutions to the stochastic strongly damped wave equation with additive noise defined on unbounded domains. We first prove the uniform estimates of solutions, and then establish the existence of a random attractor.
متن کاملRandom Attractor for Non-autonomous Stochastic Strongly Damped Wave Equation on Unbounded Domains∗
In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.
متن کاملAsymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise
In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with multiplicative noise under homogeneous Dirichlet boundary condition. We investigate the existence of a compact random attractor for the random dynamical system associated with the equation.
متن کاملRapid Solution of the Wave Equation in Unbounded Domains
In this paper we propose and analyze a new, fast method for the numerical solution of time domain boundary integral formulations of the wave equation. We employ Lubich’s convolution quadrature method for the time discretization and a Galerkin boundary element method for the spatial discretization. The coefficient matrix of the arising system of linear equations is a triangular block Toeplitz ma...
متن کاملInstability results for the damped wave equation in unbounded domains
We extend some previous results for the damped wave equation in bounded domains in R to the unbounded case. In particular, we show that if the damping term is of the form αa with bounded a taking on negative values on a set of positive measure, then there will always exist unbounded solutions for sufficiently large positive α. In order to prove these results, we generalize some existing results...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2015
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2015.33046