Abstract
Large-time behavior of solutions of the one-dimensional discrete Boltzmann equation is studied. Under suitable assumptions it is proved that as time tends to infinity, the solution approaches a function which is constructed explicitly in terms of the self-similar solutions of the Burgers equation and the linear heat equation.
| Original language | English |
|---|---|
| Pages (from-to) | 563-589 |
| Number of pages | 27 |
| Journal | Communications in Mathematical Physics |
| Volume | 109 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1987 Dec |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics