Abstract
This paper is concerned with the convergence rates to viscous shock profile for general scalar viscous conservation laws. Compared with former results in this direction, the main novelty in this paper lies in the fact that the initial disturbance can be chosen arbitrarily large. This answers positively an open problem proposed by A. Matsumura in [12] and K. Nishihara in [16]. Our analysis is based on the L1-stability results obtained by H. Freistühler and D. Serre in [1].
| Original language | English |
|---|---|
| Pages (from-to) | 447-466 |
| Number of pages | 20 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 54 |
| Issue number | 2 |
| Publication status | Published - 2002 Apr |
Keywords
- Convergence rate
- Large initial disturbance
- Viscous shock profile
ASJC Scopus subject areas
- Mathematics(all)