On the Solutions of a Porous Medium Equation with Exponent Variable
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The paper studies the initial-boundary value problem of a porous medium equation with exponent variable.
How to deal with nonlinear term with the exponent variable is the main dedication of this paper.
The existence of the weak solution is proved by the monotone convergent method.
Moreover, according to the different boundary value conditions, the stability of weak solutions is studied.
In some special cases, the stability of weak solutions can be proved without any boundary value condition.
American Psychological Association (APA)
Zhan, Huashui. 2019. On the Solutions of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146657
Modern Language Association (MLA)
Zhan, Huashui. On the Solutions of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146657
American Medical Association (AMA)
Zhan, Huashui. On the Solutions of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146657