5 citations · 7 across the 28 of their papers we have counts for
32 papers
Mathematical study of a new Navier-Stokes-alpha model with nonlinear filter equation - Regularity theory and refined time asymptotics
Manuel Fernando Cortez, Oscar Jarrín
This article is devoted to the mathematical analysis of a new Navier--Stokes- model involving a nonlinear filter equation. The resulting model is governed by a doubly nonlinear…
On a pointwise estimate for a weighted rough singular integral operator in stratified Lie groups and applications
Diego Chamorro, Oscar Jarrín
In this article, we present a new pointwise estimate for a weighted rough singular integral operator in the setting of stratified Lie groups. This operator, , is bas…
On Stationary Gevrey Solutions to the Gravitational Boussinesq System and Applications to Uniqueness
Nestor Acevedo, Manuel Fernando Cortez, Oscar Jarrín
The stationary version of the Boussinesq system with a general gravitational acceleration term is considered. Under suitable assumptions on this term, as well as on the external fo…
Remarks on the Spatial Asymptotic Behavior of Solutions to a 1D Model of Equatorial Oceanic Flows
Manuel Fernando Cortez, Oscar Jarrin
We consider a new nonlocal and nonlinear one-dimensional evolution model arising in the study of oceanic flows in equatorial regions, recently derived in [A. Constantin and L. Moli…
Sharp Well-Posedness and Parameter Asymptotics for a Nonlocal Model of Thin Film Flows
Manuel Fernando Cortez, Oscar Jarrin, Miguel Yangari
This work focuses on the mathematical analysis of the Cauchy problem associated with a two-dimensional equation describing the dynamics of a thin fluid film flowing down an incline…
Finite time blow-up for a nonlinear parabolic equation with smooth coefficients
Oscar Jarrin, Gaston Vergara-Hermosilla
In this article, we consider an n-dimensional parabolic partial differential equation with a smooth coefficient term in the nonlinear gradient term. This equation was first introdu…