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Artículo
Uniqueness for SQG patch solutions
(American Mathematical Society, 2018-01)
This paper is about the evolution of a temperature front governed by the surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by the third author (2008). ...
Tesis Doctoral
Global regularity for incompressible fluid interfaces.
(2018-06-11)
Esta memoria esta dedicada al estudio de tres problemas de frontera libre dadas por interfases entre fluidos incompresibles: parche de temperatura en Boussinesq, parche de densidad en Navier-Stokes y el problema de Muskat. ...
Artículo
Global regularity of 2D density patches for inhomogeneous Navier-Stokes
(Springer, 2018)
This paper is about Lions’ open problem on density patches: whether inhomogeneous incompressible Navier-Stokes equations preserve the initial regularity of the free boundary given by density patches. Using classical Sobolev ...