We consider a stochastic equation system corresponding to the description of the motion of a barotropic viscous gas in a discretized one-dimensional domain with a weight regularizing the density and prove the existence of an invariant measure for this equation system. The proof is based on the application of Has'minskii's theorem as well as the construction of the solution of the equations with the initial condition.
Mesure invariante pour l'équation stochastique du mouvement d'un gaz visqueux en une dimension avec la discrétisation du domaine.
YASHIMA, Hisao
2013-01-01
Abstract
We consider a stochastic equation system corresponding to the description of the motion of a barotropic viscous gas in a discretized one-dimensional domain with a weight regularizing the density and prove the existence of an invariant measure for this equation system. The proof is based on the application of Has'minskii's theorem as well as the construction of the solution of the equations with the initial condition.
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