The Numerical Study of Singular Shocks Regularized by Small Viscosity

Richard Sanders; Michael Sever

doi:10.1023/A:1025320412541

The Numerical Study of Singular Shocks Regularized by Small Viscosity

Richard Sanders^*
, Michael Sever

^*Corresponding author for this work

Einstein Institute of Mathematics

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

8 Scopus citations

Abstract

A singular shock is a measure valued solution found by considering viscosity limit solutions to certain hyperbolic systems. In this work, some fundamental properties concerning such solutions are derived and then illustrated by extensive numerical study.

Original language	English
Pages (from-to)	385-404
Number of pages	20
Journal	Journal of Scientific Computing
Volume	19
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1025320412541
State	Published - Dec 2003

Keywords

Measure valued weak solution
Singular shocks
Viscosity regularization

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title = "The Numerical Study of Singular Shocks Regularized by Small Viscosity",

abstract = "A singular shock is a measure valued solution found by considering viscosity limit solutions to certain hyperbolic systems. In this work, some fundamental properties concerning such solutions are derived and then illustrated by extensive numerical study.",

keywords = "Measure valued weak solution, Singular shocks, Viscosity regularization",

author = "Richard Sanders and Michael Sever",

year = "2003",

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doi = "10.1023/A:1025320412541",

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KW - Viscosity regularization

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The Numerical Study of Singular Shocks Regularized by Small Viscosity

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Keywords

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