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  and K. Nishihara in . Our analysis is based on the L1-stability results obtained by H. Freistühler and D. Serre in .
|ジャーナル||Journal of the Mathematical Society of Japan|
|出版ステータス||Published - 2002 4月|
ASJC Scopus subject areas
- 数学 (全般)