Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion

Shuichi Kawashima, Yoshihiro Shibata, Jiang Xu*

*この研究の対応する著者

研究成果: Article査読

抄録

In this paper, we are concerned with generally symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Referring to those classical efforts in Kawashima et al., we formulate new structural conditions for the Korteweg-type dispersion and develop the dissipative mechanism of “regularity-gain type.” As an application, it is checked that several concrete model systems (e.g., the compressible Navier-Stokes(-Fourier)-Korteweg system) satisfy the general structural conditions. In addition, the optimality of our general theory on the dissipative structure is also verified by calculating the asymptotic expansions of eigenvalues.

本文言語English
ジャーナルCommunications in Partial Differential Equations
DOI
出版ステータスAccepted/In press - 2021

ASJC Scopus subject areas

  • 分析
  • 応用数学

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