Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance

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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 L<SUP>1</SUP>- stability results obtained by H. Freistühler and D. Serre in [{1}].

Journal

  • Journal of the Mathematical Society of Japan

    Journal of the Mathematical Society of Japan 54(2), 447-466, 2002-04

    The Mathematical Society of Japan

References:  18

Codes

  • NII Article ID (NAID)
    10008205036
  • NII NACSIS-CAT ID (NCID)
    AA0070177X
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    00255645
  • NDL Article ID
    6153542
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z53-A209
  • Data Source
    CJP  NDL  J-STAGE 
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