On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A kind of non-Newtonian fluid equation with a damping term and a source term is considered.
After giving a result of the existence, if the diffusion coefficient is degenerate on the boundary, the local stability of the weak solutions is established without any boundary condition.
If the diffusion coefficient is degenerate on a part of the boundary, by imposing the homogeneous value condition on the other part of the boundary, the local stability of the weak solutions is proved.
Moreover, if the equation is with a damping term, other than the finite propagation property, the results of this paper reveal the essential differences between the non-Newtonian fluid equation and the heat conduction equation in a new way.
American Psychological Association (APA)
Zhan, Huashui& Huang, Guohe. 2018. On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186752
Modern Language Association (MLA)
Zhan, Huashui& Huang, Guohe. On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1186752
American Medical Association (AMA)
Zhan, Huashui& Huang, Guohe. On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186752
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186752
