RAREFACTION WAVES IN NONLOCAL CONVECTION-DIFFUSION EQUATIONS

被引：2

作者：

Pudelko, Anna ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, PL-30059 Krakow, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2014年 / 137卷 / 01期

关键词：

asymptotic behaviour of solutions; rarefaction waves; Riemann problem; long range interactions; TRAVELING-WAVES; SEED DISPERSAL; MODEL; EVOLUTION; REGULARIZATION; UNIQUENESS; EXISTENCE; FRONTS; LIMITS;

D O I：

10.4064/cm137-1-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlocal convection-diffusion equation u(t) = J * u - u - uu(x), where J is a probability density. We supplement this equation with step-like initial conditions and prove the convergence of the corresponding solutions towards a rarefaction wave, i.e. a unique entropy solution of the Riemann problem for the inviscid Burgers equation.

引用

收藏

页码：27 / 42

页数：16

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