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Further Details Title: Stochastically Forced Compressible Fluid Flows Condition: New Author: Dominic Breit, Eduard Feireisl, Martina Hofmanová Format: Hardback ISBN-10: 3110490501 EAN: 9783110490503 ISBN: 9783110490503 Publisher: De Gruyter Genre: Science Nature & Math Release Date: 01/22/2018 Description: 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 Language: English Country/Region of Manufacture: DE Item Height: 240mm Item Length: 170mm Item Weight: 712g Series: De Gruyter Series in Applied and Numerical Mathematics Release Year: 2018 Missing Information? Please contact us if any details are missing and where possible we will add the information to our listing.
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