Admissible wave fans in nonlinear hyperbolic systems (Q919537)
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: Admissible wave fans in nonlinear hyperbolic systems |
scientific article; zbMATH DE number 4161256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Admissible wave fans in nonlinear hyperbolic systems |
scientific article; zbMATH DE number 4161256 |
Statements
Admissible wave fans in nonlinear hyperbolic systems (English)
0 references
1989
0 references
The quasi-linear hyperbolic system \[ \partial_ tU(x,t)+\partial_ xF(U(x,t))=0 \] is investigated. The author describes several well known conditions for admissible shock waves and wave fans (i.e. solutions U(x,t) of the form \(U(x,t)=V(x/t)).\) The main object of the paper is the discussion of the entropy rate admissibility criterion for wave fans, which was introduced by the author [J. Differ. Equations 14, 202-212 (1973; Zbl 0262.35038)]. In particular, it is shown that the entropy condition implies the admissibility criterion of Liu for wave fans of moderate strength.
0 references
quasi-linear hyperbolic system
0 references
shock waves
0 references
wave fans
0 references
entropy rate admissibility
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
