5 papers
On Stationary Gevrey Solutions to the Gravitational Boussinesq System and Applications to Uniqueness
Nestor Acevedo, Manuel Fernando Cortez, Oscar JarrÃn
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…
Mathematical study of a new Navier-Stokes-alpha model with nonlinear filter equation -- Part I
Manuel Fernando Cortez, Oscar Jarrin
This article is devoted to the mathematical study of a new Navier-Stokes-alpha model with a nonlinear filter equation. For a given indicator function, this filter equation was firs…
The role of the dimension in uniqueness results for the stationary quasi-geostrophic system
Diego Chamorro, Manuel Fernando Cortez
In this paper, we study a Liouville-type theorem for the stationary fractional quasi-geostrophic equation in various dimensions. Indeed, our analysis focuses on dimensions n = 2, 3…