KMS Of Academy of mathematics and systems sciences, CAS
| A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids | |
Kim, Tujin1; Cao, Daomin2,3
| |
| 2020-04-01 | |
| Source Publication | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| ISSN | 0022-247X |
| Volume | 484Issue:1Pages:42 |
| Abstract | In this paper we are concerned with a non-steady system for motion of incompressible viscous Newtonian heat-conducting fluids under mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak and one-sided leak conditions based on total stress, velocity, total pressure, rotation, total stress together and the 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 boundary surface, we get variational formulation. The formulation consists of a variational inequality for velocity due to the boundary conditions of friction type and a variational equation for temperature. We first study existence, estimation and relative compactness of solutions to an approximate equation. By passing to limits as the parameter for approximation goes to zero, we get existence of a solution with "defect measure" for temperature. C) 2019 Published by Elsevier Inc. |
| Keyword | Heat-conducting fluids Dissipative heating Mixed boundary conditions Tresca slip Leak boundary conditions Pressure boundary condition |
| DOI | 10.1016/j.jmaa.2019.123676 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Guangzhou University, P. R. China ; NSFC[11771469] ; NSFC[11688101] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000508488800033 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50568 |
| Collection | 应用数学研究所 |
| Corresponding Author | Kim, Tujin |
| Affiliation | 1.Acad Sci, Inst Math, Pyongyang, North Korea 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China |
| Recommended Citation GB/T 7714 | Kim, Tujin,Cao, Daomin. A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,484(1):42. |
| APA | Kim, Tujin,&Cao, Daomin.(2020).A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,484(1),42. |
| MLA | Kim, Tujin,et al."A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 484.1(2020):42. |
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