On stochastic evolution equations for nonlinear bipolar fluids: Well-posedness and some properties of the solution

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Hausenblas, Erika¹  Razafimandimby, Paul Andre¹ 

[1] Univ Leoben, Dept Math & Informat Technol, Franz Josef Str 18, A-8700 Leoben, Austria

关键词: Stochastic evolution equations;    Strong solution;    Ergodicity;    Invariant measure;    Bipolar fluids;    Poisson random measure;   

DOI  :  10.1016/j.jmaa.2016.04.044

来源: Elsevier

【 摘 要 】

We investigate the stochastic evolution equations describing the motion of a non Newtonian fluids excited by multiplicative noise of Levy type. We show that the system we consider has a unique global strong solution. We also give some results concerning the properties of the solution. We mainly prove that the unique solution satisfies the Markov Feller property. This enables us to prove by means of some results from ergodic theory that the semigroup associated to the unique solution admits at least an invariant measure which is ergodic and tight on a subspace of the Lebesgue space L-2. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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