The Stability of the Solutions for a Porous Medium Equation with a Convection Term
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper studies the initial-boundary value problem of a porous medium equation with a convection term.
If the equation is degenerate on the boundary, then only a partial boundary condition is needed generally.
The existence of the weak solution is proved by the monotone convergent method.
Moreover, according to the different boundary value conditions, the stability of the solutions is studied.
In some special cases, the stability can be proved without any boundary value condition.
American Psychological Association (APA)
Zhan, Huashui& Ouyang, Miao. 2018. The Stability of the Solutions for a Porous Medium Equation with a Convection Term. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1152691
Modern Language Association (MLA)
Zhan, Huashui& Ouyang, Miao. The Stability of the Solutions for a Porous Medium Equation with a Convection Term. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1152691
American Medical Association (AMA)
Zhan, Huashui& Ouyang, Miao. The Stability of the Solutions for a Porous Medium Equation with a Convection Term. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1152691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152691
