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612-822-4611
Stochastically Forced Compressible Fluid Flows

Stochastically Forced Compressible Fluid Flows

Hardcover

Series: de Gruyter Applied and Numerical Mathematics, Book 3

General MathematicsPhysics

ISBN10: 3110490501
ISBN13: 9783110490503
Publisher: de Gruyter
Published: Jan 22 2018
Pages: 342
Weight: 1.55
Height: 0.90 Width: 6.90 Depth: 9.60
Language: English

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.

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General Mathematics