On the blow-up scenario for some modified Serre-Green-Naghdi equations
Analysis of PDEs
2024-03-05 v1
Abstract
The present paper deals with a modified Serre-Green-Naghdi (mSGN) system that has been introduced by Clamond et al. to improve the dispersion relation. We present a precise blow-up scenario of the mSGN equations and we prove the existence of a class of solutions that develop singularities in finite time. All the presented results hold also for the Serre-Green-Naghdi system with weak surface tension.
Keywords
Cite
@article{arxiv.2403.02208,
title = {On the blow-up scenario for some modified Serre-Green-Naghdi equations},
author = {Billel Guelmame},
journal= {arXiv preprint arXiv:2403.02208},
year = {2024}
}