Ergodicity of Stochastic Burgers' System with Dissipative Term

Ergodicity of Stochastic Burgers' System with Dissipative Term

A 2-dimensional stochastic Burgers equation with dissipative term perturbed by Wiener noise is considered. The aim is to prove the well-posedness, existence, and uniqueness of invariant measure as well as strong law of large numbers and convergence to equilibrium.

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.513-535-252
Hauptverfasser: Han, Yongqian, Huang, Daiwen, Guo, Boling, Zhou, Guo-Li
Format: Artikel
Sprache:eng
Schlagworte:
Computational mathematics
Differential equations, Partial
Inequality
Linear equations
Mathematical research
Noise
Random noise theory
Stochastic differential equations
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Zusammenfassung:A 2-dimensional stochastic Burgers equation with dissipative term perturbed by Wiener noise is considered. The aim is to prove the well-posedness, existence, and uniqueness of invariant measure as well as strong law of large numbers and convergence to equilibrium.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/267328