The existence of global weak solutions for a multi-component plane flow

We consider the dynamics of multi-component heat-conducting viscous incompressible flow in a plane domain when the viscosity and thermal conductivity of the medium depend on temperature. The dynamics of the flow is governed by an initial-boundary value problem for the Navier-Stokes system with heat conduction and heat transfer taken into account. The existence of a generalized global solution with velocity field and temperature of Hopf's class has been established in conjunction with the estimate of fractional smoothness of the order 1/2 in the time variable. © 2004 Cambridge University Press.

Авторы
Номер выпуска
6
Язык
Английский
Страницы
769-779
Статус
Опубликовано
Том
15
Год
2004
Организации
  • 1 Department of Differential Equations and Functional Analysis, People's Friendship University of Russia, Moscow, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3549/