Rate My Professor Tej Ghoul

Ghoul's research focuses on partial differential equations (PDEs) that arise in physics, chemistry, and biology. He investigates the formation of singularities and the asymptotic behavior of solutions to nonlinear PDEs. In particular, his work addresses blow-up dynamics to provide qualitative descriptions of singularity formation and the stability of these dynamics, as well as the long-time behavior of solutions. Ghoul has authored numerous papers in prestigious journals. Key publications include: "Refined Description and Stability for Singular Solutions of the 2D Keller-Segel System" (2022, Communications on Pure and Applied Mathematics, with Charles Collot, Nader Masmoudi, and Van-Tien Nguyen); "On the stability of self-similar blow-up for solutions to the incompressible Euler equations on R³" (2022, with Tarek Elgindi and Nader Masmoudi); "Singularity formation for Burgers equation with transversal viscosity" (2018, with Charles Collot and Nader Masmoudi); "Minimal mass blowup solutions for the Patlak-Keller-Segel equation" (2018, Communications on Pure and Applied Mathematics, with Nader Masmoudi); "Singularities and unsteady separation for the inviscid two-dimensional Prandtl’s system" (2021, Archive for Rational Mechanics and Analysis, with Charles Collot and Nader Masmoudi).