Gautam Iyer

Professor, Department of Mathematical Sciences, Dept. of Math. Sci., Carnegie Mellon University.

πŸ“§πŸ’Ό WEH 6121. πŸ•» 412 268 8419.

Research Interests

Mixing image 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, anomalous dissipation, coagulation, fluid mechanics, homogenization, Q-tensors and mixing.

Awards, and Support Acknowledgement

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


Recent Publications
  • W. Cooperman, G. Iyer, S. Son, A Harris Theorem for Enhanced Dissipation, and an Example of Pierrehumbert. (2024).
  • M. Coti Zelati, G. Crippa, G. Iyer, A. Mazzucato, Mixing in Incompressible Flows: Transport, dissipation and their interplay.. (2023).
  • A. Christie, Y. Feng, G. Iyer, A. Novikov, Speeding up Langevin Dynamics by Mixing. (2023).
  • G. Iyer, E. Lu, J. Nolen, Using Bernoulli maps to accelerate mixing of a random walk on the torus. (2023).
  • G. Iyer, H. Zhou, Quantifying the dissipation enhancement of cellular flows. (2022).
All Publications
Partial Differential Equations
Fluid Dynamics
Harmonic Analysis
Liquid Crystals
Ph.D. thesis's of former Students
Masters's thesis's / projects of former Students
  • Ethan Lu, A probabilistic analysis of enhanced dissipation (2022), which led to this joint paper.
  • Hongyi Zhou, The mixing time of cellular flows with small molecular diffusivity (2022) which led to this joint paper.
  • James T. Murphy III, Resolving the one-dimensional autonomous flow-free explosion problem (2014) which was published in SIURO.