2 citations · 2 across the 4 of their papers we have counts for
4 papers
A remark on very weak suitable solutions and Leray solutions of the Navier-Stokes equations
Oscar Jarrín
We introduce the notion of very weak suitable solutions for the Navier--Stokes equations. Here, the velocity and the pressure satisfy minimal conditions that make sense of the loca…
On the fractional regularity for an elliptic nonlinear singular drift equation
Oscar Jarrin
We consider an elliptic equation with the fractional Laplacian operator in the dissipative term, a singular integral operator in the nonlinear t…
Mild solutions to the 3D-Boussinesq system with weakened initial temperature
Pedro Gabriel Fernández Dalgo, Oscar Jarrín
In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct loc…
Some remarks on the regularity of weak solutions for the stationary Ericksen-Leslie and MHD systems
Oscar Jarrín
We consider two elliptic coupled systems of relevance in the fluid dynamics. These systems are posed on the whole three-dimensional space and they consider the action of external f…