5 citations · 7 across the 28 of their papers we have counts for
4 papers · 2 filters
On the fractional approach to quadratic nonlinear parabolic systems
Oscar Jarrin, Geremy Loachamin
We introduce a general coupled system of parabolic equations with quadratic nonlinear terms and diffusion terms defined by fractional powers of the Laplacian operator. We develop a…
Mathematical study of a new Navier-Stokes-alpha model with nonlinear filter equation -- Part I
Manuel Fernando Cortez, Oscar Jarrin
This article is devoted to the mathematical study of a new Navier-Stokes-alpha model with a nonlinear filter equation. For a given indicator function, this filter equation was firs…
A general Liouville-type theorem for the 3D steady-state Magnetic-Bénard system
Oscar Jarrin
We establish a Liouville-type theorem for the elliptic and incompressible Magnetic-Bénard system defined over the entire three-dimensional space. Specifically, we demonstrate the u…
On the blow-up for a Kuramoto-Velarde type equation
Oscar Jarrin, Gaston Vergara-Hermosilla
It is known that the Kuramoto-Velarde equation is globally well-posed on Sobolev spaces in the case when the parameters and involved in the non-linear terms verify $ γ_…