The Nonsteady Boussinesq System with Mixed Boundary Conditions including Conditions of Friction Type
Author
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-03
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
In this paper, we are concerned with the nonsteady Boussinesq system under mixed boundary conditions.
The boundary conditions for fluid may include Tresca slip, leak and one-sided leak conditions, velocity, static (or total) pressure, rotation, and stress (or total stress) together, and the boundary conditions for temperature may include Dirichlet, Neumann, and Robin conditions together.
Relying on the relations among strain, rotation, normal derivative of velocity, and shape of the boundary surface, we get variational formulation.
The formulations consist of a variational inequality for velocity due to the boundary conditions of friction type and a variational equation for temperature.
For the case of boundary conditions including the static pressure and stress, we prove that if the data of the problem are small enough and compatibility conditions at the initial instance are satisfied, then there exists a unique solution on the given interval.
For the case of boundary conditions including the total pressure and total stress, we prove the existence of a solution without restriction on the data and parameters of the problem.
American Psychological Association (APA)
Kim, Tujin. 2020. The Nonsteady Boussinesq System with Mixed Boundary Conditions including Conditions of Friction Type. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1169951
Modern Language Association (MLA)
Kim, Tujin. The Nonsteady Boussinesq System with Mixed Boundary Conditions including Conditions of Friction Type. International Journal of Differential Equations No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1169951
American Medical Association (AMA)
Kim, Tujin. The Nonsteady Boussinesq System with Mixed Boundary Conditions including Conditions of Friction Type. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1169951
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169951