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Recent work published by Charles Fefferman and his collaborators at ICMAT

2019

- Castro, C. Fefferman, F. Gancedo, J. Gómez-Serrano, 2019. Splash singularities for the free boundary Navier-Stokes equations, Ann. PDE 5:12, 117pp

 

2018

- D. Córdoba, C. Fefferman, 2018. Water waves with or without surface tension. Handbook of mathematical analysis in mechanics of viscous fluids, 1329–1349, Springer.

 

2016

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles y GANCEDO, Francisco, 2016. Splash singularities for the one-phase Muskat problem in stable regimes. Archive for Rational Mechanics and Analysis 222 (1), pp. 213-243.

 

2014

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y GÓMEZ-SERRANO, Javier, 2014. Structural stability for the splash singularities of the water wave problem, Discrete Continuos Dynamical Systems 34 (12), pp. 4997-5043.

 

2013

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles y GANCEDO, Francisco, 2013. Breakdown of smoothness for the Muskat problem. Archive for Rational Mechanics and Analysis 208 (3), pp. 805-909.

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y GÓMEZ-SERRANO, Javier, 2013. Finite time singularities for the free boundary incompressible Euler equations. Annals of Mathematics 178 (3), pp. 1061-1134.

 

2012

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y GÓMEZ-SERRANO, Javier, 2012. Finite time singularities of water waves with surface tension. Journal of Mathematical Physics 53.

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y GÓMEZ-SERRANO, Javier, 2012. Splash singularities for water waves. Proceedings of the National Academy of Sciences of the United States of America (PNAS) 109 (3), pp. 733-738.

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y LÓPEZ-FERNÁNDEZ, M, 2012. Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves. Annals of Mathematics 175 (2), pp. 909-948.

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y LÓPEZ-FERNÁNDEZ, M, 2012. Turning waves and breakdown for incompressible flows. Proceedings of the National Academy of Sciences 108 (12), pp. 4754-4759.

 

2011

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles y GANCEDO, Francisco, 2011. Breakdown of smoothness for the Muskat problem.

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y LÓPEZ, M., 2011. Turning waves and breakdown for incompressible flows. Proceedings of the National Academy of Sciences of the United States of America (PNAS) 108,12, pp. 4754-4759.

 

Preprint

- CASTRO, Ángel, CÓRDOBA, Diego, FEFFERMAN, Charles, GANCEDO, Francisco y GÓMEZ-SERRANO, Javier. Splash singularities for the for the free boundary Navier-Stokes equations. arXiv: 1504.02775