Stochastically Forced Compressible Fluid Flows Navier-Stokes Equations with Stochastic Driving Forces
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Sprache:Englisch
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Fr. 164.90
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
ePUB
Kopierschutz
Nein
Family Sharing
Nein
Text-to-Speech
Ja
Erscheinungsdatum
22.01.2018
Verlag
De Gruyter OldenbourgSeitenzahl
342 (Printausgabe)
Dateigröße
24281 KB
Auflage
1. Auflage
Sprache
Englisch
EAN
9783110490763
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.
Contents
Part 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
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