6 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…
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…
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…
On the fractional approach to quadratic nonlinear parabolic systems
Oscar Jarrin, Geremy Loachamin
We introduce a general coupled system of parabolic equations with quadratic nonlinear terms and diffusion terms defined by fractional powers of the Laplacian operator. We develop a…