Tarek Elgindi

Assistant Professor

Department of Mathematics

UC-San Diego

 

 

Teaching

 

For information on each class, please consult the respective TritonEd page. 

 

Fall     2019:              Math 140A (Honors Introductory Analysis)

Fall     2019:              Math 237A (Singularities in fluids)

Fall     2019:              Math 196 (Undergraduate Colloquium)


Academic Background

 

Instructor, Princeton University, 2014-2017

PhD, New York University, 2009-2014 

B.S., University of Wisconsin-Madison, 2006-2009

 

Curriculum Vitae—here you can find some information on my academic background, published papers, invited lectures, and service. 

 

Recent Papers

Below is a list of a few papers I have worked on over the past year or so which are not yet published. Short summaries of these works can be found through the “Research Papers” link below. 

 

Finite-time singularity formation for C1,α solutions to the incompressible Euler equations on R3. arXiv preprint: https://arxiv.org/abs/1904.04795.

 

Stable self-similar blowup for a family of nonlocal transport equations, with T. Ghoul and N. Masmoudi, arXiv preprint: https://arxiv.org/abs/1906.05811.

 

Inviscid limit of vorticity distributions in Yudovich class, with P. Constantin and T. Drivas, arXiv preprint: https://arxiv.org/abs/1909.04651.

 

Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow, with M. Coti-Zelati and K. Widmayer. arXiv preprint: https://arxiv.org/abs/1901.01571.

 

Finite-time Singularity Formation for Strong Solutions to the Boussinesq System, with I. Jeong. arXiv preprint: https://arxiv.org/abs/1708.02724.

 

Universal Mixers in All Dimensions, with A. Zlatos, accepted in Advances in Mathematics. arXiv preprint: https://arxiv.org/abs/1809.09614.

 

Finite-time Singularity Formation for Strong Solutions to the axi-symmetric 3D Euler equations, with I. Jeong. Accepted in Annals of PDE.

arXiv preprint: https://arxiv.org/abs/1802.09936.

 

On the Effects of Advection and Vortex Stretching, with I. Jeong, accepted in Archive for Rational Mechanics and Analysis.

arXiv preprint: https://arxiv.org/abs/1701.04050.

 

On the relation between enhanced dissipation time-scales and mixing rates, with M. Coti-Zelati and M. G. Delgadino, Communications on Pure and Applied Mathematics. arXiv preprint: https://arxiv.org/abs/1806.03258.

 

On singularity formation in a Hele-Shaw model, with P. Constantin, H. Nguyen, and V. Vicol, Communications in Mathematical Physics. 

arXiv preprint: https://arxiv.org/abs/1708.08490.

 

Symmetries and Critical Phenomena in Fluids, with I. Jeong, Communications on Pure and Applied Mathematics

arXiv preprint: https://arxiv.org/abs/1610.0971.

Research Papers—here you can find most of the papers I have worked on along with a short summary of the important results and techniques.