Published November 30, 2015
| Version v1
Journal article
Periodic measure for the stochastic equation of the barotropic viscous gas in a discretized one-dimensional domain
- 1. LANOS Laboratory, Badji Mokhtar University, BP 12, 23000, Annaba (Algeria)
- 2. Normandie Univ, Laboratoire Raphaël Salem, UMR CNRS 6085, Rouen (France)
Description
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
Additional details
Identifiers
- DOI
- 10.1063/1.4936724;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1690
- Journal Issue
- 1
- Journal Page Range
- p. 040017-040017.7
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 41. international conference on applications of mathematics in engineering and economics
- Acronym
- AMEE '15
- Dates
- 8-13 Jun 2015
- Place
- Sozopol (Bulgaria)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47066446
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- DENSITY; EQUATIONS; ONE-DIMENSIONAL CALCULATIONS; PERIODICITY; STOCHASTIC PROCESSES; WEIGHT
- Descriptors DEC
- PHYSICAL PROPERTIES; VARIATIONS
Optional Information
- Notes
- (c) 2015 AIP Publishing LLC