SIGNED RADON MEASURE-VALUED SOLUTIONS OF FLUX SATURATED SCALAR CONSERVATION LAWS

被引：5
|
作者：
Bertsch, Michiel [1 ,2 ]
Smarrazzo, Flavia [3 ]
Terracina, Andrea [4 ]
Tesei, Alberto [2 ,4 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
[2] CNR, Ist Applicaz Calcolo M Picone, Rome, Italy
[3] Univ Campus Biomed Roma, Fac Dipartimentale Ingn, Via Alvaro del Portillo 21, I-00128 Rome, Italy
[4] Univ Sapienza Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期
关键词：
First order hyperbolic conservation laws; signed Radon measures; singular boundary conditions; entropy inequalities; uniqueness;
D O I：
10.3934/dcds.2020041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.
引用
收藏
页码：3143 / 3169
页数：27
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