Compactness for nonlinear continuity equations

Fethi Ben Belgacem; Pierre Emmanuel Jabin

doi:10.1016/j.jfa.2012.10.005

Compactness for nonlinear continuity equations

Fethi Ben Belgacem, Pierre Emmanuel Jabin

Mathematics

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

22 Scopus citations

Abstract

We prove compactness and hence existence for solutions to a class of nonlinear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which gives quantitative compactness estimates compatible with both frameworks.

Original language	English (US)
Pages (from-to)	139-168
Number of pages	30
Journal	Journal of Functional Analysis
Volume	264
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2012.10.005
State	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2012.10.005

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abstract = "We prove compactness and hence existence for solutions to a class of nonlinear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which gives quantitative compactness estimates compatible with both frameworks.",

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Compactness for nonlinear continuity equations

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