Yanyan Li

Yanyan Li is a Distinguished Professor of Mathematics at Rutgers, The State University of New Jersey, affiliated with the Department of Mathematics. His research focuses on nonlinear analysis, partial differential equations (PDEs), and their applications to fluid dynamics, geometric analysis, and conformal geometry. He has contributed extensively to topics including Navier-Stokes equations, Monge-Ampère equations, and the Nirenberg problem.

His work bridges theoretical mathematics and applied problems, such as conductivity in composite materials and microRNA's role in glioma cell behavior. Recent research emphasizes singularity analysis in PDEs and the development of comparison principles for degenerate elliptic equations. Notable contributions include studies on compactness theorems for conformal metrics and the classification of axisymmetric solutions to Navier-Stokes equations.

Prof. Li’s articles frequently address boundary value problems, geometric PDEs, and the interplay between nonlinear operators and physical phenomena. His methodologies span variational principles, viscosity solutions, and geometric techniques, reflecting a synthesis of analytical rigor and interdisciplinary application.

While no specific awards are listed here, his tenure as a Distinguished Professor underscores his scholarly impact. He advises students in mathematical analysis and related fields, though explicit student listings are not provided in the source text.