Jalal M. I. Shatah
Regular biography
Jalal M. I. Shatah is the Silver Professor of Mathematics at New York University, Department of Mathematics. His research focuses on partial differential equations and analysis, particularly the global existence and asymptotic behavior of small solutions to nonlinear hyperbolic and dispersive equations. He is affiliated with the Courant Institute of Mathematical Sciences at NYU. His work includes significant contributions to the study of wave maps and free boundary problems of the Euler equation. Selected publications include collaborations with M. Struwe, C. Zeng, and others.
Scholar-generated biography
Jalal Shatah is a mathematician whose research focuses on the analysis of nonlinear partial differential equations, particularly in the context of wave equations and geometric problems. His work explores the stability and instability of solitary waves, nonlinear bound states, and ground states, with applications to Klein-Gordon equations and Schrödinger maps. Shatah also investigates global existence and well-posedness of solutions for nonlinear evolution equations, including fluid interface problems and wave maps. His research includes the study of singularities, decay estimates, and a priori estimates for equations arising in mathematical physics and geometry.