35 citations · 41 across the 5 of their papers we have counts for
5 papers
Existence of solutions for the surface electromigration equation
Felipe Linares, Ademir Pastor, Marcia Scialom
We consider a model that describes electromigration in nanoconductors known as surface electromigration (SEM) equation. Our purpose here is to establish local well-posedness for th…
Higher-order Hamiltonian Model for Unidirectional Water Waves
J. L. Bona, X. Carvajal, M. Panthee +1
Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-ord…
On the supercritical KdV equation with time-oscillating nonlinearity
M. Panthee, M. Scialom
For the initial value problem (IVP) associated the generalized Korteweg-de Vries (gKdV) equation with supercritical nonlinearity, u_{t}+\partial_x^3u+\partial_x(u^{k+1}) =0,\qquad…
On the periodic "good" Boussinesq equation
Luiz Gustavo Farah, Marcia Scialom
We study the well-posedness of the initial-value problem for the periodic nonlinear "good" Boussinesq equation. We prove that this equation is local well-posed for initial data in…
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…