Stochastically forced compressible fluid flows
type: Item
instance of: scholarly article
title: Stochastically forced compressible fluid flows
zbMATH Open document ID: 1387.76001
DOI: 10.1515/9783110492552
author: D. Breit
author: Eduard Feireisl
author: Martina Hofmanová
published in: De Gruyter Series in Applied and Numerical Mathematics
publication date: 2018-01-18T00:00:00Z
review text: This book is focused on compressible fluid flows subject to stochastic forcing. Based on both functional analysis and stochastic analysis, most attention is paid to the existence of dissipative martingale solutions of the stochastic compressible Navier-Stokes equations. Weak solutions in both the probabilistic sense as well as in the analytical sense are considered. It is shown that the evolution of the energy can be controlled in terms of the initial energy. The analysis focuses partly on the behavior of solutions in short-time as well as in the long term. Finally, using the energy inequality, the asymptotics with respect to several parameters of the model are investigated.
reviewed by: Petr Sváček
Mathematics Subject Classification ID: 76-02
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 6827069
zbMATH Keywords: existence
zbMATH Keywords: asymptotic solution
zbMATH Keywords: energy control
zbMATH Keywords: dissipative martingale solutions
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: energy inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1515/9783110492552
OpenAlex ID: W2792839858
description: scientific article; zbMATH DE number 6827069