Gautam Iyer

Assistant Professor

Mathematical Sciences
Carnegie Mellon University
Curriculum Vitae
eMail
NoSpam@math.cmu.edu (Replace NoSpam with my first name.)
Office
Wean Hall #6121
412 268 8419
Postal Address
Dept. of Math. Sci., WEH #6113,
Carnegie Mellon University,
Pittsburgh, PA 15213

Wiki

Lecture notes etc. WIKI.

Current Courses

Previous Courses

Misc.

Research Interests

I work on "Theoretical Applied Math". Some of my interests are:

Support Acknowledgement

I gratefully acknowledge partial research support* from the following:

I am an AMS and SIAM member. All views expressed in my research are my own and are not re­pre­sen­ta­tive of any supporting agency.

Publications and Preprints

  1. G. Iyer, A. Novikov Anomalous diffusion in fast cellular flows at intermediate time scales. PDF PDF (2up).
  2. G. Iyer, X. Xu, A. D. Zarnescu Dynamic Cubic Instability in a 2D Q-tensor Model for Liquid Crystals. PDF PS (2up).
  3. G. Iyer, A. Kiselev, X. Xu Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows. Nonlinearity (2014). PDF PDF (2up) Code & figures.
  4. 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) PDF PDF (2up).
  5. G. Iyer, N. Leger, R. L. Pego, Limit theorems for Smoluchowski dy­na­mics associated with critical continuous-state branching processes, Ann. Appl. Probab. PDF PDF (2up).
  6. G. Iyer, R. L. Pego, A. D. Zarnescu, Coercivity and stability results for an extended Navier-Stokes system, J. Math Physics (2012). PDF PS (2up).
  7. G. Iyer, K. C. Zygalakis, Numerical studies of homogenization under a fast cellular flow, SIAM MMS (2012). PDF PDF (2up).
  8. G. Iyer, T. Komorowski, A. Novikov, L. Ryzhik, From homogenization to averaging in cellular flows. Ann. Inst. H. Poincaré Anal. Non Linéaire. PDF PS (Booklet).
  9. P. Constantin, G. Iyer, A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary, Ann. Appl. Probab. (2011). PDF PS (2up).
  10. G. Iyer, A. Novikov, L. Ryzhik, A. Zlatos, Exit times for diffusions with incompressible drift, SIAM J. Math. Anal. (2010). PDF PS (2up).
  11. G. Iyer, A. Novikov, The regularizing effects of resetting in a particle system for the Burgers' equation, Ann. Probab. (2011) PDF PS (2up).
  12. P. Constantin, G. Iyer, J. Wu, Global regularity for a modified critical dissipative quasi-geostrophic equation, Indiana Univ. Math. J. (2008). PDF PS (Booklet).
  13. G. Iyer, J. C. Mattingly, A stochastic-Lagrangian particle system for the Navier-Stokes equations, Nonlinearity (2008). PDF PS (Booklet).
  14. G. Iyer, A stochastic Lagrangian proof of global existence of the Navier-Stokes equations for flows with small Reynolds number, Ann. Inst. H. Poincaré Anal. Non Linéaire (2009). PDF PS (Booklet).
  15. P. Constantin, G. Iyer, Stochastic Lagrangian transport and generalized relative entropies, Commun. Math. Sci. (2006). PDF PS (Booklet).
  16. G. Iyer, A stochastic Lagrangian formulation of the incompressible Navier-Stokes and related transport equations, Ph.D. Thesis, University of Chicago (2006). PDF PS (Booklet).
  17. P. Constantin, G. Iyer, A stochastic Lagrangian representation of the $3$-dimensional incompressible Navier-Stokes equations, Comm. Pure Appl. Math. (2008). PDF PS (Booklet).
  18. G. Iyer, A Stochastic perturbation of inviscid flows, Comm. Math. Phys. (2006). PDF PS (Booklet).
  19. G. Iyer, Transport in viscous rotating fluids, Commun. Math. Sci. (2004). PDF PS (Booklet).

Booklet Printing (Save Trees!)

The "PS Booklet" files are designed to be printed on a duplex printer, and then cut or folded in half. It reduces the amount of paper used by a factor of 4. Please consider using the 2up/Booklet versions for printing.

Additionally, instructions on converting any PDF file into a 2up/booklet are here.

Two Up Printing (Save Trees!)

The "2up" files have two pages per side (in landscape orientation). If printed two sided, it reduces the amount of paper used by a factor of 4. Please consider using the 2up/Booklet versions for printing.

Additionally, instructions on converting any PDF file into a 2up/booklet are here.

Last Modified: Wed 30 Jul 2014 02:41:19 PM EDT