Stochastically Forced Compressible Fluid Flows

0485802 - MÚ 2019 RIV DE eng B - Monography
Breit, D. - Feireisl, Eduard - Hofmanová, M.
Stochastically Forced Compressible Fluid Flows.
1. - Berlin: De Gruyter, 2018. 332 s. De Gruyter Series in Applied and Numerical Mathematics, Volume 3. ISBN 978-3-11-049050-3. ISSN 2512-1820
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : compressible fluid flow * Navier-Stokes equations
OECD category: Pure mathematics
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This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality.
Permanent Link: http://hdl.handle.net/11104/0280747