Gautam Iyer

Associate Professor, Dept. of Math. Sci., Carnegie Mellon University. WEH 6121. 412 268 8419.

Research Interests

Mixing image

My research concerns "Theoretical Applied Math" using tools from partial differential equations and probability. More specifically, I've worked on a variety of problems related to anomalous diffusion, coagulation, fluid mechanics, homogenization, Q-tensors and mixing.

Grant Support

My research is partially supported by:

All findings my own and do not necessarily reflect the views of respective funding agencies.


Recent Publications

  • G. Gie, C. Henderson, G. Iyer, L. Kavalie, J. P. Whitehead, Stability of vortex solutions to an extended Navier-Stokes system, Commun. Math. Sci. (2015).
  • G. Iyer, A. Novikov, Anomalous diffusion in fast cellular flows at intermediate time scales, Probab. Theory Related Fields (2015).
  • G. Iyer, X. Xu, A. D. Zarnescu, Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals, Math. Models Methods Appl. Sci (2015).
  • G. Iyer, A. Kiselev, X. Xu, Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows, Nonlinearity (2014).
  • M. Ignatova, G. Iyer, J. P. Kelliher, R. L. Pego, A. D. Zarnescu, Global existence for two extended Navier-Stokes systems, Commun. Math. Sci. (2015).

All Publications

Partial Differential Equations



  • G. Iyer, N. Leger, R. L. Pego, Limit theorems for Smoluchowski dynamics associated with critical continuous-state branching processes, Ann. Appl. Probab. (2015).

Fluid Dynamics

Harmonic Analysis


Liquid Crystals