Solvability of one class of thermo-visco-elastic-models

The existence of a weak solution to the initial-boundary value problems for the mathematical models of an incompressible non-Newtonian fluids (namely, for the linear elastically retarded fluid and for a weak concentrated aqueous polymer solutions with total and objective derivatives at the rheological relation) in 2D and 3D bounded domains is studied in this paper. In this mathematical models the viscosity depends on a temperature, which leads to emergence of the additional heat balance equation (it is a parabolic equation with non-smooth coefficients and with right part from L1(0, T; L1(Ω))). © 2018 Author(s).

Авторы
Zvyagin A. 1, 2
Сборник материалов конференции
Язык
Английский
Статус
Опубликовано
Номер
020072
Том
1997
Год
2018
Организации
  • 1 Voronezh State University, Voronezh, 394018, Russian Federation
  • 2 Peoples Friendship University of Russia, Moscow, 117198, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6472/