- We will send in 10–14 business days.
/images/books/13022343/9783110490503.jpg)
- Author: Dominic Breit
- Publisher: De Gruyter
- ISBN-10: 3110490501
- ISBN-13: 9783110490503
- Format: 17.5 x 24.4 x 2.3 cm, kieti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Reviews
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
EXTRA 10 % discount with code: EXTRA
The promotion ends in 24d.00:35:51
The discount code is valid when purchasing from 10 €. Discounts do not stack.
- Author: Dominic Breit
- Publisher: De Gruyter
- ISBN-10: 3110490501
- ISBN-13: 9783110490503
- Format: 17.5 x 24.4 x 2.3 cm, kieti viršeliai
- Language: English English
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
Reviews