Зарегистрироваться
Восстановить пароль
FAQ по входу

Breit D., Feireisl E., Hofmanová M. Stochastically Forced Compressible Fluid Flows

  • Файл формата pdf
  • размером 3,23 МБ
  • Добавлен пользователем
  • Отредактирован
Breit D., Feireisl E., Hofmanová M. Stochastically Forced Compressible Fluid Flows
Berlin, Germany: Walter de Gruyter GmbH, 2018. — 339 p. — (Applied and Numerical Mathematics 03). — ISBN 3110490501.
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.
Preliminary results
Elements of functional analysis
Elements of stochastic analysis
Existence theory
Modeling fluid motion subject to random effects
Global existence
Local well-posedness
Relative energy inequality and weak–strong uniqueness
Applications
Stationary solutions
Singular limits
  • Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.
  • Регистрация