2 citations · 5 across the 5 of their papers we have counts for
5 papers
Dynamics of the Korteweg-de Vries equation on a balanced metric graph
Jaime Angulo Pava, Márcio Cavalcante
In this work, we establish local well-posedness for the Korteweg-de Vries model on a balanced star graph with a structure represented by semi-infinite edges, by considering a bound…
Nonlinear Stability for the Periodic and Non-Periodic Zakharov System
Jaime Angulo, Carlos Banquet
We prove the existence of a smooth curve of periodic traveling wave solutions for the Zakharov system. We also show that this type of solutions are nonlinear stable by the periodic…
Well-posedness and stability in the periodic case for the Benney system
J. Angulo, A. J. Corcho, And S. Hakkaev
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space is the lowest regulari…
Nonlinear Stability of Periodic Travelling Wave Solutions for the Regularized Benjamin-Ono and BBM Equations
Jaime Angulo, Marcia Scialom, Carlos Banquet
This paper has various goals: first, we develop a local and global well-posedness theory for the regularized Benjamin-Ono equation in the periodic setting, second, we show that the…
Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System
Jaime Angulo, Carlos Matheus, Didier Pilod
The objective of this paper is two-fold: firstly, we develop a local and global (in time) well-posedness theory for a system describing the motion of two fluids with different dens…