Examples and conjectures on the regularity of solutions to balance laws-Reference-Cited by-同舟云学术

Examples and conjectures on the regularity of solutions to balance laws

Published:2023-02-08 Issue:3 Volume:81 Page:433-454
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Ancona Fabio,Bianchini Stefano,Bressan Alberto,Colombo Rinaldo,Nguyen Khai

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 for2×22\times 2genuinely nonlinear systems.

Funder

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

https://www.ams.org/qam/2023-81-03/S0033-569X-2023-01647-2/S0033-569X-2023-01647-2.pdf

Reference37 articles.

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