Solution concepts, well-posedness, and wave breaking for the Fornberg–Whitham equation

被引：0
|
作者：
Günther Hörmann
机构：
[1] Universität Wien,Fakultät für Mathematik
来源：
Monatshefte für Mathematik | 2021年 / 195卷
关键词：
Fornberg–Whitham equation; Wave breaking; Weak entropy solutions; Mild solutions; 35L65; 35B99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss concepts and review results about the Cauchy problem for the Fornberg–Whitham equation, which has also been called Burgers–Poisson equation in the literature. Our focus is on a comparison of various strong and weak solution concepts as well as on blow-up of strong solutions in the form of wave breaking. Along the way we add aspects regarding semiboundedness at blow-up, from semigroups of nonlinear operators to the Cauchy problem, and about continuous traveling waves as weak solutions.
引用
收藏
页码：421 / 449
页数：28
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