平衡律解的正则性的例子与猜想

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2023-02-08 DOI:10.1090/qam/1647

F. Ancona, S. Bianchini, A. Bressan, R. Colombo, K. Nguyen

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引用次数: 2

摘要

本文讨论了具有严格凸通量和可积源的标量一维守恒律解的各种正则性。反过来，这些产生了对解决集的紧性估计。对于2 × 22 \ × 2个真正的非线性系统，预计也具有类似的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Examples and conjectures on the regularity of solutions to balance laws

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.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.