Well-posedness of a highly nonlinear shallow water equation on the circle-Reference-Cited by-同舟云学术

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Well-posedness of a highly nonlinear shallow water equation on the circle

Published:2020-08 Issue: Volume:197 Page:111849
ISSN:0362-546X
Container-title:Nonlinear Analysis
language:en
Short-container-title:Nonlinear Analysis

Author:

Duruk Mutlubas Nilay,Geyer Anna,Quirchmayr Ronald^ORCID

Funder

Erwin Schrödinger International Institute for Mathematics and Physics (ESI), Austria

European Research Council, European Union

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference41 articles.

1. Model equations for long waves in nonlinear dispersive systems;Benjamin;Philos. Trans. R. Soc. Lond. Ser. A,1972

2. Essai sur la theorie des eaux courantes;Boussinesq;Mém. présent. Divers. Savants Acad. Sci. Inst. Nat. Fr.,1877

3. An integrable shallow water equation with peaked solitons;Camassa;Phys. Rev. Lett.,1993

4. Nonlinear water waves with applications to wave-current interactions and tsunamis;Constantin,2011

5. Global existence and blow-up for a shallow water equation;Constantin;Ann. Sc. Norm. Super Pisa Cl. Sci.,1998

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1. The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech$$^2$$ solutions;Monatshefte für Mathematik;2024-02-01

2. Leveraging mesh modularization to lower the computational cost of localized updates to regional 2D hydrodynamic model outputs;Engineering Applications of Computational Fluid Mechanics;2023-07-24

3. A Highly Nonlinear Shallow-Water Model Arising from the Full Water Waves with the Coriolis Effect;Journal of Mathematical Fluid Mechanics;2023-04-21

4. Similarity transformations for modified shallow water equations with density dependence on the average temperature;International Journal of Nonlinear Sciences and Numerical Simulation;2023-02-09

5. Nonuniform Continuity of a Class of Shallow Water Wave Equation;Advances in Applied Mathematics;2023

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