Global BV Solutions of Compressible Euler Equations with Spherical Symmetry and Damping

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)203-225
Journal / PublicationJournal of Differential Equations
Issue number1
Publication statusPublished - 10 Jun 1998


In this paper, we study the global existence of BV solutions for compressible Euler equations with spherical symmetry and damping, using Glimm's scheme. The key point to consider is the combination of the geometric effects due to the spherical symmetry and the effects of the frictional damping on the total variation of the solutions. By measuring the strength of the waves byr-s, where (r, s) are the Riemann invariants, we construct a function which leads to the boundedness of the BV norm of the corresponding approximate solutions. © 1998 Academic Press.