Abstract
In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.
| Original language | English |
|---|---|
| Pages (from-to) | 345-364 |
| Number of pages | 20 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 174 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Dec 1 2004 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering