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.
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页码：181 / 222
页数：42
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