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

页码：3143 / 3169

页数：27

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