Aynur Bulut

Aynur Bulut is an Associate Professor in the Department of Mathematics at Louisiana State University (LSU). Her research focuses on nonlinear partial differential equations (PDEs), particularly in supercritical settings and fluid models. She has made significant contributions to the analysis of dispersive PDEs, including studies on the Navier-Stokes equations, surface quasi-geostrophic (SQG) systems, and nonlinear wave equations. Bulut holds a Ph.D. from The University of Texas at Austin and an M.S. from Bogazici University.

Her academic journey includes postdoctoral work with notable mathematicians like Jean Bourgain. She teaches advanced courses such as Theory of Partial Differential Equations (Math 7386) and Multidimensional Calculus (Math 2057) at LSU. Her invited talks span prestigious institutions like MIT, Stanford, and international venues including Turkey’s Bilkent University and Koc University.

Research interests emphasize global well-posedness, singularity formation, and probabilistic methods in dispersive equations. Her work often explores thresholds for uniqueness/non-uniqueness (e.g., Onsager threshold) and stability properties in supercritical regimes. Recent studies address convex integration techniques, geometric trapping phenomena, and nonlinear instability in fluid dynamics.

Notable collaborations include work with M. Czubak, H. Dong, and S. Palasek. While her publications span over two decades, recent focus areas include SQG equation behavior, hypodissipative Navier-Stokes regularity, and logarithmically energy-supercritical wave equations. Teaching and mentorship are integral to her academic profile at LSU.