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On the blow-up scenario for some modified Serre–Green–Naghdi equations
- Source :
- Nonlinear Analysis: Theory, Methods and Applications, Nonlinear Analysis: Theory, Methods and Applications, 2022, ⟨10.1016/j.na.2022.113084⟩
- Publication Year :
- 2022
- Publisher :
- Elsevier BV, 2022.
-
Abstract
- International audience; 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.
Details
- ISSN :
- 0362546X
- Volume :
- 224
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis
- Accession number :
- edsair.doi.dedup.....a314b72bbe3d7fad8d64ccac9e1b678e
- Full Text :
- https://doi.org/10.1016/j.na.2022.113084