Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation

被引：20

作者：

Hoermann, Guenther ^{[1
]}

机构：

[1] Univ Wien, Fak Math, Vienna, Austria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 07期

关键词：

Weak solutions; Traveling waves; Nonlinear integro-differential equations; WELL-POSEDNESS; BREAKING;

D O I：

10.1016/j.jde.2018.04.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the weak solution concept for the Fornberg-Whitham equation in case of traveling waves with a piecewise smooth profile function. The existence of discontinuous weak traveling wave solutions is shown by means of analysis of a corresponding planar dynamical system and appropriate patching of disconnected orbits. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：2825 / 2841

页数：17

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