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Showing 2011 · math.APShow all
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math.AP2011
Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
Angel Castro, Diego Cordoba, Charles Fefferman +2
The Muskat problem models the evolution of the interface given by two different fluids in porous media. The Rayleigh-Taylor condition is natural to reach the linear stability of th…
math.AP2011★ 3 cited
Generalized surface quasi-geostrophic equations with singular velocities
Dongho Chae, Peter Constantin, Diego Córdoba +2
This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity fields determined by the scalars through very singular int…