34 citations · 79 across the 29 of their papers we have counts for
31 papers
Improved existence time for a Boussinesq system
Achenef Tesfahun, Sigmund Selberg
We consider a strongly dispersive Boussinesq-type system arising as a model for the propagation of weakly nonlinear water waves. The system is characterized by a nonlinearity param…
Enhanced lifespan of solutions to Whitham-Boussinesq system with surface tension
Madina Kamet, Achenef Tesfahun
We consider a Whitham-Boussinesq type system with surface tension arising as asymptotic models in the bi-directional propagation of weakly nonlinear surface waves in shallow water,…
Improved existence time for the Whitham equation and a Whitham-Boussinesq system
Didier Pilod, Sigmund Selberg, Nadia Skoglund Taki +1
In this paper, we investigate the time of existence of the solutions to two full dispersion models derived from the water waves equations in the shallow water regime: the Whitham e…
The Cauchy problem for the nonlinear Schrödinger equation with a convolution potential
Amin Esfahani, Achenef Tesfahun
This paper investigates the nonlinear Schrödinger equation with a singular convolution potential. It demonstrates the local well-posedness of this equation in a modified Sobolev sp…
Well-posedness for a molecular beam epitaxy model
Louis Emerald, Daniel Oliveira da Silva, Achenef Tesfahun
We study a general molecular beam epitaxy (MBE) equation modeling the epitaxial growth of thin films. We show that, in the deterministic case, the associated Cauchy problem admits…
Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation
Amin Esfahani, Achenef Tesfahun
Studied in this paper is the sixth-order Boussinesq equation. We extend the local well-posedness theory for this equation with quadratic and cubic nonlinearities to the high dimens…