Global existence and uniqueness for a hyperbolic system with free boundary

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

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Detail(s)

Original languageEnglish
Pages (from-to)763-780
Journal / PublicationDiscrete and Continuous Dynamical Systems
Volume7
Issue number4
Publication statusPublished - 2001

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0035615437&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(e21076cc-3967-416b-83f2-6c58de4be1e1).html

Abstract

In this paper, we consider a 2 x 2 hyperbolic system originates from the theory of phase dynamics. This one-phase problem can be obtained by using the Catteneo-Fourier law which is a variant of the standard Fourier law in one dimensional space. A new classical existence and uniqueness result is established by some a priori estimates using the characteristic method. The convergence of the solutions to the one of classical Stefan problems is also obtained.

Research Area(s)

  • Classical solution, Hyperbolic system, Stefan problem

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Publication fingerprints text

100
Hyperbolic Systems Keyphrases
100
Global Existence Keyphrases
100
Free Boundary Keyphrases
100
Global Uniqueness Keyphrases
100
Fourier Law Keyphrases
100
Fourier Matrix Mathematics
100
convergence INIS
100
dynamics INIS
100
space INIS
100
solutions INIS
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Citation Format(s)

[ RIS ] [ BibTeX ]
Global existence and uniqueness for a hyperbolic system with free boundary. / Yang, Tong; Yi, Fahuai.
In: Discrete and Continuous Dynamical Systems, Vol. 7, No. 4, 2001, p. 763-780.

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