Abstract
We introduce a new potential interaction functional and use it to define a new Glimm-type functional that bounds the total variation of the conserved quantities at time t > 0 by the total variation at time t = 0+ in Glimm approximate solutions of a general resonant nonlinear balance law.
| Original language | English |
|---|---|
| Pages (from-to) | 819-857 |
| Number of pages | 39 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 64 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Balance laws
- Glimm scheme
- Resonance
- Shock waves