Breakdown criterion for a conservation law with saturating dissipation

Shlomo Engelberg; Steven Schochet

doi:10.1080/03605300500481368

Breakdown criterion for a conservation law with saturating dissipation

Shlomo Engelberg, Steven Schochet^*

^*Corresponding author for this work

School of Mathematical Sciences

Jerusalem College of Technology

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

3 Scopus citations

Abstract

A sufficient condition is given for smooth solutions of a scalar conservation law with a saturating viscous term to develop shocks.

Original language	English
Pages (from-to)	639-647
Number of pages	9
Journal	Communications in Partial Differential Equations
Volume	31
Issue number	4
DOIs	https://doi.org/10.1080/03605300500481368
State	Published - Apr 2006

Keywords

Loss of smoothness
Saturating dissipation

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10.1080/03605300500481368

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title = "Breakdown criterion for a conservation law with saturating dissipation",

abstract = "A sufficient condition is given for smooth solutions of a scalar conservation law with a saturating viscous term to develop shocks.",

keywords = "Loss of smoothness, Saturating dissipation",

author = "Shlomo Engelberg and Steven Schochet",

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AB - A sufficient condition is given for smooth solutions of a scalar conservation law with a saturating viscous term to develop shocks.

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Breakdown criterion for a conservation law with saturating dissipation

Abstract

Keywords

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