5 citations · 7 across the 28 of their papers we have counts for
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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…
An Lp-theory for fractional stationary Navier-Stokes equations
Oscar Jarrín, Gastón Vergara-Hermosilla
We consider the stationary (time-independent) Navier-Stokes equations in the whole threedimensional space, under the action of a source term and with the fractional Laplacian opera…
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…