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Stochastically Forced Compressible Fluid Flows

Navier-Stokes Equations with Stochastic Driving Forces
 Ebook
Sofort lieferbar | Lieferzeit:3-5 Tage I
ISBN-13:
9783110492552
Einband:
Ebook
Seiten:
342
Autor:
Dominic Breit
Serie:
De Gruyter Series in Applied and Numerical Mathematics
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:

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.