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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2008 · math.APShow all

5 papers · 2 filters

math.AP2008

Interface evolution: water waves in 2-D

Antonio Cordoba, Diego Cordoba, Francisco Gancedo

We study the free boundary evolution between two irrotational, incompressible and inviscid fluids in 2-D without surface tension. We prove local-existence in Sobolev spaces when, i…

math.AP2008★ 39 cited

Global Existence for the Vlasov-Poisson System in Bounded Domains

Hyung Ju Hwang, Juan J. L. Velazquez

In this paper we prove global existence for solutions of the Vlasov-Poisson system in convex bounded domains with specular boundary conditions and with a prescribed outward electri…

math.AP2008

Balanced split sets and Hamilton-Jacobi equations

Pablo Angulo Ardoy, Luis Guijarro

We study the singular locus of solutions to Hamilton-Jacobi equations with a Hamiltonian independent of . In a previous paper, we proved that the singular locus is what we call…

math.AP2008★ 3 cited

Interface evolution: the Hele-Shaw and Muskat problems

Antonio Cordoba, Diego Cordoba, Francisco Gancedo

We study the dynamics of the interface between two incompressible 2-D flows where the evolution equation is obtained from Darcy's law. The free boundary is given by the discontinui…

math.AP2008★ 41 cited

Incompressible flow in porous media with fractional diffusion

A. Castro, D. Cordoba, F. Gancedo +1

In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy's law. We show formation of singul…