Sameer Iyer

Assistant Professor
Department of Mathematics
University of California, Davis
office: MSB 2330
email: sameer at math dot ucdavis dot edu

About Me:

• My research interests are generally in nonlinear partial differential equations. I am particularly interested in asymptotic problems from fluid mechanics.

• 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.

• Here are some aspects of my online footprint:

• [CV] [Google Scholar] [arXiv]

Papers:

• The Feynman-Lagerstrom criterion for boundary layers
  T.D. Drivas, S. Iyer, T.T. Nguyen
  August 2023
  [arXiv]

• Linear inviscid damping and vorticity depletion for non-monotonic shear flows
  A.D. Ionescu, S. Iyer, H. Jia
  December 2022
  [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. (to appear)
  [arXiv]

• Reversal in the stationary Prandtl equations
  S. Iyer, N. Masmoudi
  Submitted March 2022
  [arXiv]

• Boundary layer expansions for the stationary Navier-Stokes equations
  S. Iyer, N. Masmoudi
  Ars Inveniendi Analytica (2021)
  [journal], [arXiv]

• Global-in-x Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows
  S. Iyer, N. Masmoudi
  Submitted 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. (accepted 2022)
  [arXiv]

• Steady Prandtl Layer Expansions with External Forcing
  Y. Guo, S. Iyer
  Quart. Appl. Math. (accepted 2022)
  [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:

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