Stochastically Forced Compressible Fluid Flows

Language: English

Published by De Gruyter, DE, 2018

3110490501 / 9783110490503

Series: Book 3 of 6 - De Gruyter Series in Applied and Numerical 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. ContentsPart I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak-strong uniqueness Part III: Applications Stationary solutions Singular limits.

Seller Inventory # LU-9783110490503

Title
Stochastically Forced Compressible Fluid Flows
Author
Dominic Breit, Eduard Feireisl, Martina Hofmanová
Publisher
De Gruyter, DE
Publication year
2018
Condition
New
Binding
Hardback
Language
English
ISBN 10
3110490501
ISBN 13
9783110490503
Item weight
712 grams
Series
Book 3 of 6: De Gruyter Series in Applied and Numerical Mathematics

Rarewaves USA United

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