Peter Constantin

Peter Constantin is a Professor in the Department of Mathematics at Princeton University, specializing in mathematical physics and applied mathematics. His research focuses on fluid dynamics, partial differential equations, and nonlinear systems, with particular emphasis on Navier-Stokes equations, surface quasi-geostrophic (SQG) equations, and magnetohydrodynamics (MHD). He explores critical aspects of fluid behavior, including singularity formation, turbulence, and inviscid limits.

Key areas of study include global regularity analysis for hydrodynamic models, stability of plasma equilibria, and coupled systems such as Nernst-Planck-Navier-Stokes. His work bridges theoretical analysis and applications in geophysical fluid dynamics and plasma physics.

Recent research highlights include studies on the inviscid limit of vorticity distributions, magnetic relaxation in MHD systems, and the mathematical foundations of complex fluid models. He has contributed to understanding electrokinetic phenomena, electrodiffusion, and the interplay between fluid dynamics and particle interactions.

His publications reflect a deep engagement with both foundational PDE theory and applied problems, addressing topics like singularity conditions in Euler equations, blow-up criteria, and the role of symmetry in fluid and plasma systems.