Omar Lazar
Postdoctoral Researcher
Mathematics
Complutense University of Madrid
Spain
Biography
"Omar Lazar was born in Paris in 1985. He completed his degree in mathematics in october 2009 at the University Paris-Est and his Phd in mathematics in february 2013 at the same University under the supervision of Marco Cannone and Pierre-Gilles Lemarié-Rieusset. During his thesis, he was interested in the study of the regularity of infinite energy solutions to the dissipative Surface-Quasi Geostrophic equation. Now, he is working as a Marie-Curie Postdoctoral Fellowship at the ICMAT under the supervision of Diego Córdoba. His research is centered around the study of the Muskat problem as well as some 1D nonlocal transport equations coming from fluid mechanic problems."
Research Interest
Regularity of infinite energy solutions to the dissipative Surface-Quasi Geostrophic equation.
Publications
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Lazar O. On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion. Journal of Differential Equations. 2016 Nov 5;261(9):4974-96.
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Bae H, Granero-Belinchón R, Lazar O. Global existence of weak solutions to dissipative transport equations with nonlocal velocity. arXiv preprint arXiv:1609.04357. 2016 Sep 14.
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Lazar O, Lemarié-Rieusset PG. Infinite energy solutions for a 1D transport equation with nonlocal velocity. arXiv preprint arXiv:1506.01288. 2015 Jun 3.
