EXAMPLES AND CONJECTURES ON THE REGULARITY OF SOLUTIONS TO BALANCE LAWS

Fabio Ancona, Stefano Bianchini, Alberto Bressan, Rinaldo M. Colombo, Khai T. Nguyen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The paper discusses various regularity properties for solutions to a scalar, 1-dimensional conservation law with strictly convex flux and integrable source. In turn, these yield compactness estimates on the solution set. Similar properties are expected to hold for 2 × 2 genuinely nonlinear systems.

Original languageEnglish (US)
Pages (from-to)433-454
Number of pages22
JournalQuarterly of Applied Mathematics
Volume81
Issue number3
DOIs
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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