6 papers
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_…
From non-local to local Navier-Stokes equations
Oscar Jarrin, Geremy Loachamin
Inspired by some experimental (numerical) works on fractional diffusion PDEs, we develop a rigorous framework to prove that solutions to the fractional Navier-Stokes equations, whi…
Sharp well-posedness and spatial decaying for a generalized dispersive-dissipative Kuramoto-type equation and applications to related models
Manuel Fernando Cortez, Oscar Jarrin
We introduce a fairly general dispersive-dissipative nonlinear equation, which is characterized by fractional Laplacian operators in both the dispersive and dissipative terms. This…
On the existence, regularity and uniqueness of -solutions to the steady-state 3D Boussinesq system in the whole space
Oscar Jarrin
We consider the steady-state Boussinesq system in the whole three-dimensional space, with the action of external forces and the gravitational acceleration. First, for $3<p\leq +\in…
A turbulent study for a damped Navier-Stokes equation: turbulence and problems
Diego Chamorro, Oscar Jarrín
In this article we consider a damped version of the incompressible Navier-Stokes equations in the whole three-dimensional space with a divergence-free and time-independent external…
Fractional Laplacians and Nilpotent Lie Groups
Diego Chamorro, Oscar Jarrin
The aim of this short article is to generalize, with a slighthly different point of view, some new results concerning the fractional powers of the Laplace operator to the setting o…