2.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES618 papers
- Universidad Carlos III de MadridES550 papers
- Consejo Superior de Investigaciones CientíficasES480 papers
- Homi Bhabha National InstituteIN425 papers
- Universidad Complutense de MadridES350 papers
- Tata Institute of Fundamental ResearchIN132 papers
- Centre National de la Recherche ScientifiqueFR131 papers
- Indian Institute of Science BangaloreIN120 papers
- Indian Institute of Technology MadrasIN92 papers
- Chennai Mathematical InstituteIN82 papers
- Beijing Institute of Mathematical Sciences and Applications64 papers
- Harish-Chandra Research InstituteIN58 papers
3 papers · 2 filters
Splash singularity for water waves
Angel Castro, Diego Córdoba, Charles Fefferman +2
We exhibit smooth initial data for the 2D water wave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result t…
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…
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…