315 citations · 460 across the 13 of their papers we have counts for
6 papers · 1 filter
On the use of the Riesz transforms to determine the pressure term in the incompressible Navier-Stokes equations on the whole space
Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Pedro G. Fernández-Dalgo
We give some conditions under which the pressure term in the incompressible Navier-Stokes equations on the entire -dimensional Euclidean space is determined by the formula $\dis…
Existence of travelling-wave solutions and local well-posedness of the Fowler equation
Borys Alvarez-Samaniego, Pascal Azerad
We study the existence of travelling-waves and local well-posedness in a subspace of for a nonlinear evolution equation recently proposed by Andrew C. Fowler to…
Comment on "Orbital stability of solitary wave solutions for an interaction equation of short and long dispersive waves"
Borys Alvarez-Samaniego
J. Angulo and J. F. Montenegro (J. Differential Equations 174 (2001), no. 1, 181-199) published a paper about nonlinear stability of solitary waves for an interaction system betwee…
On The Local Well-Posedness for Some Systems of Coupled KdV Equations
Borys Alvarez-Samaniego, Xavier Carvajal
Using the theory developed by Kenig, Ponce, and Vega, we prove that the Hirota-Satsuma system is locally well-posed in Sobolev spaces for…
Large time existence for 3D water-waves and asymptotics
Borys Alvarez-Samaniego, David Lannes
We rigorously justify in 3D the main asymptotic models used in coastal oceanography, including: shallow-water equations, Boussinesq systems, Kadomtsev-Petviashvili (KP) approximati…
A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
Borys Alvarez-Samaniego, David Lannes
We study the well-posedness of the initial value problem for a wide class of singular evolution equations. We prove a general well-posedness theorem under three assumptions easy to…