4 papers · 1 filter
Existence of stationary vortex patches for the gSQG in bounded domains
Vladimir Angulo-Castillo, Edison Cuba, Lucas C. F. Ferreira
In this paper we show the existence of time-periodic vortex patches for the generalized surface quasi-geostrophic equation within a bounded domain. This construction is carried out…
Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects
Vladimir Angulo-Castillo, Lucas C. F. Ferreira, Leonardo Kosloff
We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we sho…
Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces
Lucas C. F. Ferreira, Vladimir Angulo-Castillo
We are concerned with the D-Navier-Stokes equations with Coriolis force. Existence and uniqueness of global solutions in homogeneous Besov spaces are obtained for large speed of…
On the 3D Euler equations with Coriolis force in borderline Besov spaces
Lucas C. F. Ferreira, Vladimir Angulo-Castillo
We consider the 3D Euler equations with Coriolis force (EC) in the whole space. We show long-time solvability in Besov spaces for high speed of rotation and arbitrary initial d…