On the Burgers-Poisson Equation
Analysis of PDEs
2022-01-17 v2
Abstract
In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1(R). Additional an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak entropy solutions are provided.
Keywords
Cite
@article{arxiv.1510.09144,
title = {On the Burgers-Poisson Equation},
author = {Katrin Grunert and Khai T. Nguyen},
journal= {arXiv preprint arXiv:1510.09144},
year = {2022}
}
Comments
22 pages