Uniform Lp-stability theory for the Boltzmann equation

DOI

Bibliographic Information

Other Title
  • ボルツマン方程式の一様Lp-安定性

Abstract

In this talk, I will present a new uniform Lp-stability theory for the spatially inhomogeneous Boltzmann equation near vacuum via the nonlinear functional approach proposed in [1,2]. Our stability analysis is based on new nonlinear functionals which are equivalent to the p-th power of Lp-distance. The L1-nonlinear functionals play the key role of "modulators" which make the accumulative functional be non-increasing in time t along classical solutions. This is a joint work with Mitsuru Yamazaki (University of Tsukuba) and Seok-Bae Yun (Seoul National University). [1] Ha, S.-Y.: Nonlinear functionals of the Boltzmann equation and uniform stability estimates. J. Differential Equations 215, 178-205 (2005). [2] Ha, S.-Y.: L1 stability of the Boltzmann equation for the hard sphere model. Arch. Rational Mech. Anal. 173, 279-296 (2004).

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Details 詳細情報について

  • CRID
    1390282680570912128
  • NII Article ID
    130004603831
  • DOI
    10.11345/japannctam.56.0.48.0
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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