Tarek Elgindi

Assistant Professor

Department of Mathematics

UC-San Diego

 

 

Teaching

 

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

 

Fall000          2017:              Math 140A (Honors Introductory Analysis)

Winter           2018:              Math 140B (Honors Introductory Analysis II)

Spring            2018:              Math 237A (Topics in PDE)

Fall                 2018:              Math 240A (Real Analysis I)

Fall                 2018:              Math 110A (Undergarduate PDE)

Winter           2019:              Math 240B (Real Analysis II)


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. 

 

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.

 

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

 

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

 

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

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

 

Finite-time Singularity Formation for Strong Solutions to the Boussinesq System, with I. Jeong. 

arXiv preprint: https://arxiv.org/abs/1708.02724.

 

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

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

 

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.

 

Symmetries and Critical Phenomena in Fluids, with I. Jeong, accepted in 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.