3 papers
math.AP2026
A remark on very weak suitable solutions and Leray solutions of the Navier-Stokes equations
Oscar JarrÃn
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…
math.AP2025
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…
math.AP2024
Mild solutions to the 3D-Boussinesq system with weakened initial temperature
Pedro Gabriel Fernández Dalgo, Oscar JarrÃn
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…