Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation
Analysis of PDEs
2020-10-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2010.03257,
title = {Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation},
author = {Guenther Hoermann},
journal= {arXiv preprint arXiv:2010.03257},
year = {2020}
}