The stability of the solutions for a porous medium equation with a convection term (Q1727155)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The stability of the solutions for a porous medium equation with a convection term |
scientific article; zbMATH DE number 7026617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stability of the solutions for a porous medium equation with a convection term |
scientific article; zbMATH DE number 7026617 |
Statements
The stability of the solutions for a porous medium equation with a convection term (English)
0 references
20 February 2019
0 references
Summary: 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.
0 references
0 references
