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

SIAM Northern and Central California Annual Meeting,
UC Merced, October, 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
  Comm. Math. Phys. (2024)   [arXiv]

• The Feynman-Lagerstrom criterion for boundary layers
  T.D. Drivas, S. Iyer, T.T. Nguyen
  Arch. Rational Mech. Anal. (2024)   [journal], [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