Ergodicity of Stochastic Burgers’ System with Dissipative Term
Author(s) -
Guoli Zhou,
Boling Guo,
Daiwen Huang,
Yongqian Han
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/267328
Subject(s) - mathematics , uniqueness , dissipative system , invariant measure , ergodicity , burgers' equation , term (time) , invariant (physics) , mathematical analysis , statistical physics , ergodic theory , mathematical physics , differential equation , statistics , physics , quantum mechanics
A 2-dimensional stochastic Burgers equation with dissipative termperturbed by Wiener noise is considered. The aim is to prove the well-posedness,existence, and uniqueness of invariant measure as well as stronglaw of large numbers and convergence to equilibrium
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