Sameer Iyer
Assistant Professor
Department of Mathematics
University of California, Davis
office: MSB 2330
email: sameer at math dot ucdavis dot edu
About Me:
Research Interests: Nonlinear partial differential equations, asymptotic problems from fluid mechanics, hydrodynamic stability.
Background: I received my Sc.B. (2012), Sc. M. (2018), and Ph.D. (2013-2018) from Brown University, where my advisor was Yan Guo. I was an NSF postdoc at Princeton University from 2018-2021. Since July 2021 I have been an Assistant Professor at UC Davis.
Footprint: [CV] [Google Scholar] [arXiv]
Editorial: Comm. Pure Appl. Anal.
Upcoming Travel and Events:
Summer School: (In)stability Phenomena in Fluid Mechanics,
5 hour Minicourse Speaker,
CY Advanced Studies, Paris, May 2024
Patterns in Solutions to the Incompressible Euler Equations,
Bedlewo, Poland, August 2024
Workshop: Nonlinear PDEs Related to Fluid Dynamics,
Tokyo Institute of Technology, Tokyo, November 2024
Singularities in Fluids and General Relativity,
IMS Singapore, December 2024
The 14th AIMS Conference, Mathematical Fluid Mechanics,
Thematic Speaker
Abu Dhabi, December 2024
Winter School: Boundary and Singularity in Fluid Mechanics,
Organizer and Minicourse Speaker,
Simons Center, Stony Brook, January 2025
Papers:
Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes Equations with Navier Boundary Conditions
J. Bedrossian, S. He, S. Iyer, F. Wang
May 2024
[arXiv]
Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette
J. Bedrossian, S. He, S. Iyer, F. Wang
May 2024
[arXiv]
Local Rigidity of the Couette Flow for the Stationary Triple-Deck Equations
S. Iyer, Y. Maekawa
May 2024
[arXiv]
Stability of the Favorable Falkner-Skan Profiles for the Stationary Prandtl Equations
S. Iyer
March 2024
[arXiv]
Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D
J. Bedrossian, S. He, S. Iyer, F. Wang
November 2023
[arXiv]
The Feynman-Lagerstrom criterion for boundary layers
T.D. Drivas, S. Iyer, T.T. Nguyen
Arch. Rational Mech. Anal. (2024)
[arXiv]
On the stability of shear flows in bounded channels, II: non-monotonic shear flows
A.D. Ionescu, S. Iyer, H. Jia
Vietnam J. Math. (2023)
[journal],
[arXiv]
Higher regularity theory for a mixed-type parabolic equation
S. Iyer, N. Masmoudi
December 2022
[arXiv]
Improved well-posedness for the Triple-Deck and related models via concavity
D. Gerard-Varet, S. Iyer, Y. Maekawa
J. Math. Fluid. Mech. (2023)
[journal],
[arXiv]
Reversal in the Stationary Prandtl Equations
S. Iyer, N. Masmoudi
March 2022
[arXiv]
Boundary Layer Expansions for the Stationary Navier-Stokes Equations
S. Iyer, N. Masmoudi
Ars Inven. Anal. (2021)
[journal],
[arXiv]
Global-in-x Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
S. Iyer, N. Masmoudi
June 2021
[arXiv]
Formation of Unstable Shocks for 2D Isentropic Compressible Euler
T. Buckmaster, S. Iyer
Comm. Math. Phys. (2021)
[journal],
[arXiv]
Real Analytic Local Wellposedness for the Triple Deck
S. Iyer, V. Vicol
Comm. Pure Appl. Math. (2020)
[journal],
[arXiv]
On Global-in-x Stability of Blasius Profiles
S. Iyer
Arch. Rational Mech. Anal. (2020)
[journal],
[arXiv]
Regularity and Expansion for Steady Prandtl Equations
Y. Guo, S. Iyer
Comm. Math Phys. (2021)
[journal],
[arXiv]
Validity of Steady Prandtl Layer Expansions
Y. Guo, S. Iyer
Comm. Pure Appl. Math. (2023)
[arXiv]
Steady Prandtl Layer Expansions with External Forcing
Y. Guo, S. Iyer
Quart. Appl. Math. (2023)
[arXiv]
Stationary Inviscid Limit to Shear Flows
S. Iyer, C. Zhou
J. Differ. Equ. (2019)
[journal],
[erratum],
[arXiv]
Steady Prandtl Layer Expansions over a Moving Boundary: Non-Shear Euler Flows
S. Iyer
SIAM J. Math. Anal. (2019)
[journal],
[arXiv]
Mixing in Reaction-Diffusion Systems: Large Phase Offsets
S. Iyer, B. Sandstede
Arch. Rational Mech. Anal. (2019)
[journal],
[arXiv]
Global Steady Prandtl Expansion Over a Moving Boundary, I
S. Iyer
Peking Math. J. (2019)
[journal],
[arXiv]
Global Steady Prandtl Expansion Over a Moving Boundary, II
S. Iyer
Peking Math. J. (2019)
[journal],
[arXiv]
Global Steady Prandtl Expansion Over a Moving Boundary, III
S. Iyer
Peking Math. J. (2019)
[journal],
[arXiv]
Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk
S. Iyer
Arch. Rational Mech. Anal. (2017)
[journal],
[arXiv]
Grants and Fellowships:
NSF DMS2306528
2023-2026 (currently active)
$189,916
The Inviscid Limit and Boundary Layer Theory for Stationary Navier-Stokes Flows
Hellman Fellowship, UC Davis
2023-2024
$35,000
NSF DMS180294
2018-2021
$150,000
Several Problems in the Mathematical Theory of Fluid Flows
Seminar:
UC Davis PDE and Applied Math Seminar
Teaching:
Fall 2024, MAT201A, UC Davis
Fall 2024, MAT12B, UC Davis
Winter 2023, MAT127A, Section B01, UC Davis
Winter 2023, MAT127A, Section C01-C02, UC Davis
Fall 2022, MAT21B, UC Davis
Winter 2022, MAT21B, UC Davis
Fall 2021, MAT127A, UC Davis
Spring 2021, MAT201, Princeton
Fall 2020, MAT201, Princeton
Spring 2020, MAT175, Princeton
Fall 2019, MAT201, Princeton