Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains - Journal of Applied Mathematics and Physics

JAMP > Vol.3 No.3, March 2015

Journal of Applied Mathematics and Physics

Volume 3, Issue 3 (March 2015)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains ()

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DOI: 10.4236/jamp.2015.33046 2,444 Downloads 3,416 Views Citations

Author(s)

Zhaojuan Wang^1*, Shengfan Zhou²

Affiliation(s)

¹School of Mathematical Science, Huaiyin Normal University, Huaian, China.
²Department of Mathematics, Zhejiang Normal University, Jinhua, China.

ABSTRACT

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.

KEYWORDS

Stochastic Strongly Damped Wave Equation, Random Dynamical System, Random Attractor

Share and Cite:

Wang, Z. and Zhou, S. (2015) Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains. Journal of Applied Mathematics and Physics, 3, 338-357. doi: 10.4236/jamp.2015.33046.

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