Gautam Iyer
Professor, Associate Director of the Center for Nonlinear Analysis
Address:
8115 Wean Hall
Department of Mathematical Sciences
Carnegie Mellon University
5000 Forbes Avenue
Pittsburgh, PA 15213
412-268-2545
Education
Ph.D., University of Chicago
Awards
- Sloan Research Fellowship
- NSF CAREER Award
- Simons Foundation Fellowship
Research
My research, broadly speaking, studies partial differential equations arising in applied mathematics. My early work provided a probabilistic representation of solutions to the Navier-Stokes equations (which are used to describe the evolution of incompressible fluids).
My current interests include global existence questions of PDE's arising in fluid dynamics, mixing of passive scalars, self similar size distributions in the Smoluchowski coagulation equations and the "Q-Tensor" equations for liquid crystals. Another direction of interest is to study homogenization on "intermediate" time scales and the resulting anomalous diffusive effects. While most of my research uses tools from Analysis and PDE, some of it also requires probabilistic techniques.
Select Publications
16-CNA-026, A Model For Vortex Nucleation In The Ginzburg-Landau Equations, Gautam Iyer, Daniel Spirn
16-CNA-025, Coagulation And Universal Scaling Limits For Critical Galton-Watson Processes , Gautam Iyer, Nicholas Leger, Robert L. Pego
16-CNA-016, A fractional kinetic process describing the intermediate time behaviour of cellular flows, Martin Hairer, Gautam Iyer, Leonid Koralov, Alexei Novikov, Zsolt Pajor-Gyulai
15-CNA-023, Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation, Joshua Ballew, Gautam Iyer, Robert L. Pego
14-CNA-028, Stability of Vortex Solutions to an Extended Navier-Stokes System, Gung-Min Gie, Christopher Henderson, Gautam Iyer, Landon Kavlie, Jared P. Whitehead
14-CNA-018, Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals, Gautam Iyer, Xiang Xu, Arghir Zarnescu
14-CNA-017, Anomalous Diffusion in Fast Cellular Flows at Intermediate Time Scales, Gautam Iyer, Alexei Novikov
13-CNA-021, Lower Bounds on the Mix Norm of Passive Scalars Advected by Incompressible Enstrophy-Constrained Flows, Gautam Iyer, Alexander Kiselev, Xiaoqian Xu
13-CNA-017, Global existence for two extended Navier-Stokes systems, Mihaela Ignatova, Gautam Iyer, James P. Kelliher, Robert L. Pego, Arghir Zarnescu
13-CNA-002, Limit Theorems for Smoluchowski Dynamics Associated with Critical Continuous-State Branching Processes, Gautam Iyer, Nicholas Leger, Robert L. Pego