Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws

Shuji Yoshikawa, Shuichi Kawashima

研究成果: Article査読

抄録

In this article, we show the global existence of solution for some semi-discrete finite difference schemes of some model system of quasilinear hyperbolic balance laws with the Cattaneo law. In [10] and [11] the first author proposed the energy method for the structure-preserving fully discrete numerical schemes for semilinear partial differential equations. The result here gives its application to quasilinear partial differential equations.

本文言語English
論文番号124929
ジャーナルJournal of Mathematical Analysis and Applications
498
1
DOI
出版ステータスPublished - 2021 6 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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