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Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relationsстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 января 2024 г.
- Авторы: Georgievskii D.V., Putkaradze V.G.
- Журнал: Continuum Mechanics and Thermodynamics
- Том: 35
- Номер: 4
- Год издания: 2023
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 1403
- Последняя страница: 1415
- DOI: 10.1007/s00161-022-01139-y
- Аннотация: Tensor-nonlinear media are generalized models of continua having nonlinear relationship between the stress and strain rate, important for the descriptions of, for example, non-Newtonian fluids. We consider a wide class of such tensor-nonlinear, isotropic, incompressible media, which may possess a scalar stress potential in terms of velocity gradients, i.e., the analogue or Raleigh function. We also provide a setting of several linearized problems for these media in moving three-dimensional domains. Energy-based estimates and subsequent Lyapunov, asymptotic and exponential stability results are derived through an application of a sequence of integral inequalities. We also present particular cases of stability estimates for a variety of tensor-linear, or quasilinear, media that may or may not possess the dissipation potential, such as the Bingham and Saint-Venant media, or Newtonian viscous fluid.
- Добавил в систему: Георгиевский Дмитрий Владимирович