Carnegie Mellon University

Gautam Iyer

Professor, Associate Director of the Center for Nonlinear Analysis

6121 Wean Hall
Department of Mathematical Sciences
Carnegie Mellon University
5000 Forbes Avenue
Pittsburgh, PA 15213

P: 412-268-8419



Gautam Iyer


Ph.D., University of Chicago


  • Sloan Research Fellowship
  • NSF CAREER Award
  • Simons Foundation Fellowship


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, (download paper)

16-CNA-025, Coagulation And Universal Scaling Limits For Critical Galton-Watson Processes , Gautam Iyer, Nicholas Leger, Robert L. Pego, (download paper)

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, (download paper)

15-CNA-023, Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation, Joshua Ballew, Gautam Iyer, Robert L. Pego, (download paper)

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, (download paper)

14-CNA-018, Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals, Gautam Iyer, Xiang Xu, Arghir Zarnescu, (download paper)

14-CNA-017, Anomalous Diffusion in Fast Cellular Flows at Intermediate Time Scales, Gautam Iyer, Alexei Novikov, (download paper)

13-CNA-021, Lower Bounds on the Mix Norm of Passive Scalars Advected by Incompressible Enstrophy-Constrained Flows, Gautam Iyer, Alexander Kiselev, Xiaoqian Xu, (download paper)

13-CNA-017, Global existence for two extended Navier-Stokes systems, Mihaela Ignatova, Gautam Iyer, James P. Kelliher, Robert L. Pego, Arghir Zarnescu, (download paper)

13-CNA-002, Limit Theorems for Smoluchowski Dynamics Associated with Critical Continuous-State Branching Processes, Gautam Iyer, Nicholas Leger, Robert L. Pego, (download paper)