Piecewise regular solutions to scalar balance laws with singular nonlocal sources

被引：0

作者：

Bociu, Lorena ^{[1
]}

Ftaka, Evangelia ^{[1
]}

Nguyen, Khai T. ^{[1
]}

Schino, Jacopo ^{[2
]}

机构：

[1] North Carolina State Univ, Dept Math, Raleigh, NC 27607 USA

[2] Univ Warsaw, Fac Math Informat & Mech, Warsaw, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 409卷

基金：

美国国家科学基金会;

关键词：

Piecewise smooth solutions; Scalar balance law; Singular kernels; Shock; SMOOTH SOLUTIONS; BURGERS-POISSON;

D O I：

10.1016/j.jde.2024.07.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper establishes a local well-posed result for piecewise regular solutions with single shock of scalar balance laws with singular integral of convolution type kernels. In a neighborhood of the shock curve, a detailed description of the solution is provided for a general class of initial data. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：181 / 222

页数：42

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