ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM

José R. Quintero; Alex M. Montes; Ricardo Córdoba

doi:10.11948/20220323

2023 Volume 13 Issue 3

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José R. Quintero, Alex M. Montes, Ricardo Córdoba. ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1475-1504. doi: 10.11948/20220323

Citation:

José R. Quintero, Alex M. Montes, Ricardo Córdoba. ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM[J]. Journal of Applied Analysis & Computation, 2023, 13(3): 1475-1504. doi: 10.11948/20220323

ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM

1.
Mathematics Department, Universidad del Valle, Cali, Colombia
2.
Mathematics Department, Universidad del Cauca, Popayán, Colombia

Author Bio: Email: jose.quintero@correounivalle.edu.co (J. Quintero); Email: amontes@unicauca.edu.co (A. Montes)
Corresponding author: Email: ricardocordoba@unicauca.edu.co (R. Córdoba)

Abstract

Abstract

In this paper we establish the orbital stability of ground state solitary waves for a nonlinear one-dimensional Boussinesq system that models the evolution of two dimensional long water waves with small amplitude in the presence of surface tension. We also discuss the well-posedness for the Boussinesq system, using some Strichartz type estimates associated with the system and lowering the Sobolev index obtained in some previous results.
- Solitary waves /
- ground state solutions /
- well-posedness /
- Strichartz estimates /
- water waves
MSC: 35E15, 35C08, 377K45, 35Q35

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References

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