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Title: Periodic measure for the stochastic equation of the barotropic viscous gas in a discretized one-dimensional domain

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 is considered. In [2], the existence of an invariant measure was established for this discretized problem in the stationary case. In this paper, applying a slightly modified version of Khas’minskii’s theorem [5], we generalize this result in the periodic case by proving the existence of a periodic measure for this problem.
Authors:
;  [1] ;  [2]
  1. LANOS Laboratory, Badji Mokhtar University, BP 12, 23000, Annaba (Algeria)
  2. Normandie Univ, Laboratoire Raphaël Salem, UMR CNRS 6085, Rouen (France)
Publication Date:
OSTI Identifier:
22496241
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1690; Journal Issue: 1; Conference: AMEE '15: 41. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DENSITY; EQUATIONS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; STOCHASTIC PROCESSES; WEIGHT