Stochastically Forced Compressible Fluid Flows (eBook)

Dominic Breit, Eduard Feireisl, Martina Hofmanová (Autoren)

eBook Download: EPUB

2018
342 Seiten
De Gruyter (Verlag)
978-3-11-049076-3 (ISBN)

Infos

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

D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.

Produkt-Details

• Erscheint lt. Verlag: 22.1.2018
• Reihe/Serie: De Gruyter Series in Applied and Numerical Mathematics
• Reihe/Serie: De Gruyter Series in Applied and Numerical Mathematics
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Zusatzinfo: 40 b/w ill.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Schlagworte: Fluiddynamik • Kompressible Strömung • Navier-Stokes-Gleichung
• ISBN-10: 3-11-049076-5 / 3110490765
• ISBN-13: 978-3-11-049076-3 / 9783110490763