Random attractor of non-autonomous stochastic Boussinesq lattice system

Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4930195· OSTI ID:22479604

Zhao, Min; Zhou, Shengfan ^[1]

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1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004 (China)

In this paper, we first consider the existence of tempered random attractor for second-order non-autonomous stochastic lattice dynamical system of nonlinear Boussinesq equations effected by time-dependent coupled coefficients and deterministic forces and multiplicative white noise. Then, we establish the upper semicontinuity of random attractors as the intensity of noise approaches zero.

• OSTI ID: 22479604
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTRACTORS
EQUATIONS
NOISE
NONLINEAR PROBLEMS
RANDOMNESS
STOCHASTIC PROCESSES
TIME DEPENDENCE