Gautam Iyer

Associate Professor, Dept. of Math. Sci., Carnegie Mellon University.

gautam@math.cmu.edu. WEH 6121. 412 268 8419.

Research Interests

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My research concerns "Theoretical Applied Math" using tools from partial differential equations and probability. More specifically, I've studied 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.

Publications

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

Probability

Coagulation

  • 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

Homogenization

Liquid Crystals

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