On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-14
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The initial-boundary value problem of a porous medium equation with a variable exponent is considered.
Both the diffusion coefficient ax,t and the variable exponent px,t depend on the time variable t, and this makes the partial boundary value condition not be expressed as the usual Dirichlet boundary value condition.
In other words, the partial boundary value condition matching up with the equation is based on a submanifold of ∂Ω×0,T.
By this innovation, the stability of weak solutions is proved.
American Psychological Association (APA)
Zhan, Huashui. 2020. On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1152932
Modern Language Association (MLA)
Zhan, Huashui. On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1152932
American Medical Association (AMA)
Zhan, Huashui. On a Partial Boundary Value Condition of a Porous Medium Equation with Exponent Variable. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1152932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152932