How parabolic free boundaries approximate hyperbolic fronts

Brian H. Gilding; Roberto Natalini; Alberto Tesei

doi:10.1090/S0002-9947-99-02236-9

How parabolic free boundaries approximate hyperbolic fronts

Brian H. Gilding, Roberto Natalini, Alberto Tesei

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.

Original language	English
Pages (from-to)	1797-1824
Number of pages	28
Journal	Transactions of the American Mathematical Society
Volume	2000
Issue number	352
DOIs	https://doi.org/10.1090/S0002-9947-99-02236-9
Publication status	Published - 18 Nov 1999

Keywords

METIS-140536
EWI-16381
IR-73712

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10.1090/S0002-9947-99-02236-9

Cite this

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title = "How parabolic free boundaries approximate hyperbolic fronts",

abstract = "A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.",

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author = "Gilding, {Brian H.} and Roberto Natalini and Alberto Tesei",

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doi = "10.1090/S0002-9947-99-02236-9",

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T1 - How parabolic free boundaries approximate hyperbolic fronts

AU - Gilding, Brian H.

AU - Natalini, Roberto

AU - Tesei, Alberto

PY - 1999/11/18

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N2 - A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.

AB - A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.

KW - METIS-140536

KW - EWI-16381

KW - IR-73712

U2 - 10.1090/S0002-9947-99-02236-9

DO - 10.1090/S0002-9947-99-02236-9

M3 - Article

SN - 0002-9947

VL - 2000

SP - 1797

EP - 1824

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 352

ER -

How parabolic free boundaries approximate hyperbolic fronts

Abstract

Keywords

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