Global BV solutions to a p-system with relaxation

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Original languageEnglish
Pages (from-to)174-198
Journal / PublicationJournal of Differential Equations
Volume162
Issue number1
Publication statusPublished - 20 Mar 2000

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0034688724&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(df72e11c-a1c2-4048-8321-8fc08a03321f).html

Abstract

In this paper, we study the global existence of BV solutions to a p-system with a relaxation source term using the Glimm's scheme. The pressure p is given by a γ-law with γ=1. By a suitable choice of the measure for the strength of the shock waves, we show that the total strength of the waves and the total variation of the solutions are uniformly bounded with respect to the relaxation parameter. Furthermore, when the relaxation parameter tends to zero, we show that the sequence of BV solutions eventually converges to a weak solution to the equilibrium equation. © 2000 Academic Press.

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100
Weak Solution Mathematics
100
Global Existence Mathematics
100
Total Variation Mathematics
100
Source Term Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Global BV solutions to a p-system with relaxation. / Luo, Tao; Natalini, Roberto; Yang, Tong.
In: Journal of Differential Equations, Vol. 162, No. 1, 20.03.2000, p. 174-198.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review