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Stochastically Forced Compressible Fluid Flows cover

Stochastically Forced Compressible Fluid Flows

by Dominic Breit, Eduard Feireisl, Martina Hofmanová

1st Edition

Publisher: De Gruyter

(0 reviews)
Mathematics

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Book Details

Print ISBN9783110490503
eText ISBN9783110490763
PublisherDe Gruyter
Publishing Year2018
Edition1st Edition
LanguageEnglish
Pages342

Stochastically Forced Compressible Fluid Flows, 1st Edition, provides a systematic study of compressible fluid flows subject to stochastic forcing. A central focus of the work is establishing the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations.

The volume examines solutions that are weak in both analytical and probabilistic senses, demonstrating how energy evolution can be controlled in terms of initial energy. The text addresses short-time behavior with unique smooth solutions as well as long-term stationary states.

Published as Volume 3 in the De Gruyter Series in Applied and Numerical Mathematics, the book is designed for researchers investigating compressible fluid flows and related problems in fluid mechanics.

Table of Contents

  1. Part I: Preliminary results

    • • Elements of functional analysis
    • • Elements of stochastic analysis
  2. Part II: Existence theory

    • • Modeling fluid motion subject to random effects
    • • Global existence
    • • Local well-posedness
    • • Relative energy inequality and weak–strong uniqueness
  3. Part III: Applications

    • • Stationary solutions
    • • Singular limits

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