Overview
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
Full Product Details
Author: Dominic Breit, Dr. ,
Eduard Feireisl ,
Martina Hofmanová
Publisher: De Gruyter
Imprint: De Gruyter
Volume: 3
Dimensions:
Width: 17.00cm
, Height: 2.10cm
, Length: 24.00cm
Weight: 0.712kg
ISBN: 9783110490503
ISBN 10: 3110490501
Pages: 342
Publication Date: 22 January 2018
Audience:
Professional and scholarly
,
Professional & Vocational
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Available To Order
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Reviews
"""This book is very well written and rigorously presented, and constitutes a significant contribution to the field. It is very well motivated by various interesting and important applications in fluid mechanics and related areas. The book is recommended to all researchers interested by the modern theory of compressible fluid flows."" Mirela Kohr in: Mathematical Reviews Clippings April 2019 MR3791804"
""This book is very well written and rigorously presented, and constitutes a significant contribution to the field. It is very well motivated by various interesting and important applications in fluid mechanics and related areas. The book is recommended to all researchers interested by the modern theory of compressible fluid flows."" Mirela Kohr in: Mathematical Reviews Clippings April 2019 MR3791804
This book is very well written and rigorously presented, and constitutes a significant contribution to the field. It is very well motivated by various interesting and important applications in fluid mechanics and related areas. The book is recommended to all researchers interested by the modern theory of compressible fluid flows. Mirela Kohr in: Mathematical Reviews Clippings April 2019 MR3791804
This book is very well written and rigorously presented, and constitutes a significant contribution to the field. It is very well motivated by various interesting and important applications in fluid mechanics and related areas. The book is recommended to all researchers interested by the modern theory of compressible fluid flows. Mirela Kohr in: Mathematical Reviews Clippings April 2019 MR3791804
Author Information
D. Breit, Heriot-Watt University, UK; E. Feireisl, Czech Academy of Sciences, Czech Republic; M. Hofmanová, TU Berlin, Germany.
