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

Shuji Yoshikawa, Shuichi Kawashima

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number124929
JournalJournal of Mathematical Analysis and Applications
Volume498
Issue number1
DOIs
Publication statusPublished - 2021 Jun 1

Keywords

  • Hyperbolic balance law
  • Numerical method
  • Quasilinear evolution equation
  • Small data global existence
  • Structure-preserving numerical method
  • The Cattaneo law

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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