Examples and conjectures on the regularity of solutions to balance laws

Autor: Ancona, F, Bianchini, S, Bressan, A, Colombo, Rm, Nguyen, Kt
Rok vydání: 2023
Předmět:
Zdroj: Quarterly of Applied Mathematics.
ISSN: 1552-4485
0033-569X
DOI: 10.1090/qam/1647
Popis: 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 2\times 2 genuinely nonlinear systems.
Databáze: OpenAIRE