Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
Analysis of PDEs
2018-04-23 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1802.00215,
title = {Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation},
author = {Guenther Hoermann},
journal= {arXiv preprint arXiv:1802.00215},
year = {2018}
}
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