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.
EXAMPLES AND CONJECTURES ON THE REGULARITY OF SOLUTIONS TO BALANCE LAWS / Ancona, F.; Bianchini, S.; Bressan, A.; Colombo, R. M.; Nguyen, K. T.. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - 81:3(2023), pp. 433-454. [10.1090/qam/1647]
EXAMPLES AND CONJECTURES ON THE REGULARITY OF SOLUTIONS TO BALANCE LAWS
Bianchini S.
;
2023-01-01
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.File in questo prodotto:
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