Breit / Feireisl / Hofmanová Stochastically Forced Compressible Fluid Flows

Navier-Stokes Equations with Stochastic Driving Forces
1. Auflage 2018
ISBN: 978-3-11-049076-3
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, Band 3, 342 Seiten

Reihe: De Gruyter Series in Applied and Numerical MathematicsISSN

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

Zielgruppe

Researchers and graduate students in mathematics and physics.

Autoren/Hrsg.

Breit, Dominic

Feireisl, Eduard

Hofmanová, Martina

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Über Autor(innen)

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