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
收藏
页码：2825 / 2841
页数：17
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