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Article
Quantitative Hölder estimates for even singular integral operators on patches
(ScienceDirect, 2022-11-01)
In this paper we show a constructive method to obtain estimates of even singular integral operators on characteristic functions of domains with regularity, . This kind of functions were shown in first place to be ...
PhD Thesis
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. ...
Article
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 ...