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Stochastically Forced Compressible Fluid Flows

Stochastically Forced Compressible Fluid Flows

De Gruyter Series in Applied and Numerical Mathematics
Navier-Stokes Equations with Stochastic Driving Forces
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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.
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

Mehr zum Thema

    Differenzialrechnung; Gleichung; Differenzialgleichung; Gleichung / Differenzialgleichung; MATHEMATICS / Differential Equations / Partial; Navier-Stokes-Gleichung; Fluiddynamik; Kompressible Strömung


Autor: Dominic Breit
ISBN-13: 9783110490503
ISBN: 3110490501
Einband: Buch
Seiten: 330
Gewicht: 710 g
Format: 246x177x25 mm
Sprache: Englisch
Autor: Dominic Breit, Eduard Feireisl, Martina Hofmanová
D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.

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Autor: Dominic Breit
ISBN-13:: 9783110490503
ISBN: 3110490501
Erscheinungsjahr: 22.01.2018
Verlag: Gruyter, Walter de GmbH
Gewicht: 710g
Seiten: 330
Sprache: Englisch
Sonstiges: Buch, 246x177x25 mm, 40 Schwarz-Weiß- Abbildungen