INVISCID LIMIT TO THE SHOCK WAVES FOR THE FRACTAL BURGERS EQUATION

被引：0

作者：

Akopian, Sona ^{[1
]}

Kang, Moon-Jin ^{[2
]}

Vasseur, Alexis ^{[3
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2020年 / 18卷 / 06期

关键词：

fractal Burgers equation; fractional Laplacian; scalar conservation laws; shock waves; inviscid limit; large perturbation; relative entropy; RELATIVE ENTROPY METHOD; CONSERVATION-LAWS; STABILITY; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the vanishing viscosity limit to entropy shocks for the fractal Burgers equation in one space dimension. More precisely, we quantify the rate of convergence of the inviscid limit in L-2 for large initial perturbations around the entropy shock on any bounded time interval. This is the first result on the inviscid limit to entropy shock for the fractal Burgers equation with the quantified convergence, for large initial perturbations.

引用

页码：1477 / 1491

页数：15

共 27 条

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