FinUniversity Electronic Library

     
?

Details
Card Table RUSMARC

Breit, Dominic. Stochastically Forced Compressible Fluid Flows / Dominic Breit, Eduard Feireisl, Martina Hofmanová. — 1 online resource (342p.). — (De Gruyter Series in Applied and Numerical Mathematics). — In English. — <URL:http://elib.fa.ru/ebsco/1691653.pdf>.

Record create date: 2/19/2018

Subject: Fluiddynamik.; Kompressible Strömung.; Navier-Stokes-Gleichung.; Fluid dynamics.; TECHNOLOGY & ENGINEERING / Hydraulics.; Fluid dynamics.

Collections: EBSCO

Allowed Actions: –

Action 'Read' will be available if you login or access site from another network Action 'Download' will be available if you login or access site from another network

Group: Anonymous

Network: Internet

Annotation

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.

Document access rights

Network User group Action
Finuniversity Local Network All Read Print Download
Internet Readers Read Print
-> Internet Anonymous

Table of Contents

  • Acknowledgements
  • Notation
  • Contents
  • Part I: Preliminary results
  • 1. Elements of functional analysis
  • 2. Elements of stochastic analysis
  • Part II: Existence theory
  • 3. Modeling fluid motion subject to random effects
  • 4. Global existence
  • 5. Local well-posedness
  • 6. Relative energy inequality and weak–strong uniqueness
  • Part III: Applications
  • 7. Stationary solutions
  • 8. Singular limits
  • A. Appendix
  • B. Bibliographical remarks
  • Index

Usage statistics

stat Access count: 0
Last 30 days: 0
Detailed usage statistics