Abstract
The Tartar-DiPerna compensated compactness method, used initially to construct global weak solutions of hyperbolic systems of conservation laws for large data, can be adapted in order to provide some regularity estimates on these solutions. This note treats two examples: (a) the case of scalar conservation laws with convex flux, and (b) the Euler system for a polytropic, compressible fluid, in space dimension one.
| Original language | English |
|---|---|
| Title of host publication | XVIth International Congress on Mathematical Physics |
| Publisher | World Scientific Publishing Co. |
| Pages | 433-437 |
| Number of pages | 5 |
| ISBN (Electronic) | 9789814304634 |
| ISBN (Print) | 981430462X, 9789814304627 |
| DOIs | |
| Publication status | Published - 1 Jan 2010 |
Keywords
- Compensated compactness
- Hyperbolic systems
- Isentropic euler system
- Regularizing effect
- Scalar conservation law
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