Fluid mechanics
Incompressible Euler and Navier–Stokes equations. Focused mainly on stability at high Reynolds number and turbulence-related questions. Recently started to be interested in problems arising in atmosphere and ocean sciences.
Professor of Mathematics, UCLA
Jacob Bedrossian
My research is focused on the mathematical analysis of both deterministic and stochastic PDEs arising in fluid mechanics, plasma physics, and atmosphere/ocean sciences as well as random dynamics in finite and infinite dimensions. I am currently the David Saxon Presidential Term Chair in the Mathematics Department at UCLA. Currently funded by the NSF DMS, Applied Mathematics.
Research themes
Kinetic theory and plasma physics
Stability and singularity formation in kinetic models, mainly motivated by plasma physics and/or shock dynamics.
Random dynamics
The dynamical properties of stochastically forced PDEs and ODEs. Interested in questions such as boundedness of partially damped systems, quantitative understanding in limiting parameter regimes, such as quantitative lower bounds on Lyapunov exponents, and related questions motivated by turbulence and high dimensional dynamics.