Stochastically Forced Compressible Fluid Flows: Navier-Stokes Equations with Stochastic Driving Forces (de Gruyter Series in Applied and Numerical Mathematics): 3 - Image 1

£81.99

De Gruyter Stochastically Forced Compressible Fluid Flows: Navier-Stokes Equations with Stochastic Driving Forces (de Gruyter Series in Applied and Numerical Mathematics): 3

Name: Stochastically Forced Compressible Fluid Flows: Navier-Stokes Equations with Stochastic Driving Forces (de Gruyter Series in Applied and Numerical Mathematics): 3
Brand: De Gruyter
Price: 81.99 GBP
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Differential Equations

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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. ContentsPart 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

Product Specifications

Brand: De Gruyter
Format: hardcover
ASIN: 3110490501
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 22 January 2018
Listed Since: 13 June 2017

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De Gruyter Stochastically Forced Compressible Fluid Flows: Navier-Stokes Equations with Stochastic Driving Forces (de Gruyter Series in Applied and Numerical Mathematics): 3

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