Global Weak Solutions for a Shallow Water Equation
Authors
Adrian Constantin, Luc Molinet
Abstract
We show the existence and uniqueness of global weak solutions for an equation describing the motion of waves at the free surface of shallow water under the influence of gravity.
Keywords
Free Surface; Shallow Water; Weak Solution; Shallow Water Equation; Global Weak Solution
Citation
- Journal: Communications in Mathematical Physics
- Year: 2000
- Volume: 211
- Issue: 1
- Pages: 45–61
- Publisher: Springer Science and Business Media LLC
- DOI: 10.1007/s002200050801
BibTeX
@article{Constantin_2000,
title={{Global Weak Solutions for a Shallow Water Equation}},
volume={211},
ISSN={1432-0916},
DOI={10.1007/s002200050801},
number={1},
journal={Communications in Mathematical Physics},
publisher={Springer Science and Business Media LLC},
author={Constantin, Adrian and Molinet, Luc},
year={2000},
pages={45--61}
}