Uniform boundedness in weak solutions to a specific dissipative system (Q1706532)
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: Uniform boundedness in weak solutions to a specific dissipative system |
scientific article; zbMATH DE number 6852152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform boundedness in weak solutions to a specific dissipative system |
scientific article; zbMATH DE number 6852152 |
Statements
Uniform boundedness in weak solutions to a specific dissipative system (English)
0 references
22 March 2018
0 references
The authors consider a nonlinear first-order dissipative 2D system of differential equations which is a model of the fluid movement that occurs in vertical columns of the medium. Pressure is a power of density. The authors prove global \(L^\infty\) boundedness of weak entropy solutions in time using the invariant region theory.
0 references
compressible Euler equation
0 references
weak entropy solution
0 references
global boundedness
0 references
invariant region theory
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
