Compressible fluid flows driven by stochastic forcing

0384232 - MÚ 2013 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Maslowski, B. - Novotný, A.
Compressible fluid flows driven by stochastic forcing.
Journal of Differential Equations. Roč. 254, č. 3 (2013), s. 1342-1358. ISSN 0022-0396. E-ISSN 1090-2732
Grant CEP: GA ČR GA201/09/0917
Výzkumný záměr: CEZ:AV0Z10190503
Institucionální podpora: RVO:67985840
Klíčová slova: stochastic Navier-Stokes equations * compressible fluid * random driving force
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.570, rok: 2013
http://www.sciencedirect.com/science/article/pii/S0022039612004135

We consider the Navier–Stokes system describing the motion of a compressible barotropic fluid driven by stochastic external forces. Our approach is semi-deterministic, based on solving the system for each fixed representative of the random variable and applying an abstract result on measurability of multi-valued maps. The class of admissible driving forces includes the (temporal) white noise and the random kicks, considered recently in the context of incompressible fluid models.
Trvalý link: http://hdl.handle.net/11104/0213944