Sameer Iyer

Associate Professor
Department of Mathematics,
University of California, Davis
email: samiyer@ucdavis.edu

Research Description

Nonlinear partial differential equations arising in fluid mechanics, with a focus on boundary layers, singular limits, and hydrodynamic stability.

Background

Ph.D., Brown University, 2018
Advisor: Yan Guo

NSF Postdoctoral Fellow
Princeton University, 2018–2021

UC Davis, since 2021
Associate Professor, since 2025

Current Support

NSF CAREER DMS2442781
2025–2030

NSF DMS2306528
2023–2026

Selected works

Reversal in the Stationary Prandtl Equations

S. Iyer and N. Masmoudi

Publications Mathématiques de l’IHÉS · Accepted (2026)

[arXiv]

Global Inviscid Limit of 2D, Stationary Navier–Stokes and Stability of Prandtl Expansions

S. Iyer and N. Masmoudi

Forum of Mathematics, Pi (2026)

[journal] · [arXiv]

Validity of Steady Prandtl Layer Expansions

Y. Guo, S. Iyer

Comm. Pure Appl. Math. (2023)

[journal] · [arXiv]

Uniform Inviscid Damping and Inviscid Limit of the 2D Navier–Stokes Equations with Navier BCs

J. Bedrossian, S. He, S. Iyer, and F. Wang

Preprint · May 2024

[arXiv]

All papers and preprints

  1. Local separation profiles for the stationary Prandtl system

    K.G. Duong, T-E. Ghoul, S. Iyer, Y. Maekawa

    October 2026

    [arXiv]

  2. Recent Progress in Stationary Boundary Layers

    S. Iyer

    EMS Surv. Math. Sci. (2026)

    [journal]

  3. Linear decay of the beta-plane equation near Couette flow on the plane

    J. Bedrossian, P. Flynn, S. Iyer

    November 2025

    [arXiv]

  4. Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D

    J. Bedrossian, S. He, S. Iyer, L. Li, F. Wang

    Math. Ann. (2026)

    [arXiv]

  5. Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes Equations with Navier BCs

    J. Bedrossian, S. He, S. Iyer, F. Wang

    May 2024

    [arXiv]

  6. Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette

    J. Bedrossian, S. He, S. Iyer, F. Wang

    J. Funct. Anal. (2025)

    [journal] · [arXiv]

  7. Local Rigidity of the Couette Flow for the Stationary Triple-Deck Equations

    S. Iyer, Y. Maekawa

    Anal. PDE. (2025)

    [arXiv]

  8. Stability of the Favorable Falkner-Skan Profiles for the Stationary Prandtl Equations

    S. Iyer

    Adv. Math. (2025)

    [arXiv]

  9. Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D

    J. Bedrossian, S. He, S. Iyer, F. Wang

    Comm. Math. Phys. (2025)

    [journal] · [arXiv]

  10. The Feynman-Lagerstrom criterion for boundary layers

    T.D. Drivas, S. Iyer, T.T. Nguyen

    Arch. Rational Mech. Anal. (2024)

    [journal] · [arXiv]

  11. 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]

  12. Higher regularity theory for a mixed-type parabolic equation

    S. Iyer, N. Masmoudi

    December 2022

    [arXiv]

  13. 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]

  14. Reversal in the Stationary Prandtl Equations

    S. Iyer, N. Masmoudi

    Publications Mathématiques de l’IHÉS · Accepted

    [arXiv]

  15. Boundary Layer Expansions for the Stationary Navier-Stokes Equations

    S. Iyer, N. Masmoudi

    Ars Inven. Anal. (2021)

    [journal] · [arXiv]

  16. Global Inviscid Limit of 2D, Stationary Navier-Stokes and Stability of Prandtl Expansions

    S. Iyer, N. Masmoudi

    Forum of Mathematics, Pi (2026)

    [journal] · [arXiv]

  17. Formation of Unstable Shocks for 2D Isentropic Compressible Euler

    T. Buckmaster, S. Iyer

    Comm. Math. Phys. (2021)

    [journal] · [arXiv]

  18. Real Analytic Local Wellposedness for the Triple Deck

    S. Iyer, V. Vicol

    Comm. Pure Appl. Math. (2020)

    [journal] · [arXiv]

  19. On Global-in-x Stability of Blasius Profiles

    S. Iyer

    Arch. Rational Mech. Anal. (2020)

    [journal] · [arXiv]

  20. Regularity and Expansion for Steady Prandtl Equations

    Y. Guo, S. Iyer

    Comm. Math Phys. (2021)

    [journal] · [arXiv]

  21. Validity of Steady Prandtl Layer Expansions

    Y. Guo, S. Iyer

    Comm. Pure Appl. Math. (2023)

    [journal] · [arXiv]

  22. Steady Prandtl Layer Expansions with External Forcing

    Y. Guo, S. Iyer

    Quart. Appl. Math. (2023)

    [journal] · [arXiv]

  24. Steady Prandtl Layer Expansions over a Moving Boundary: Non-Shear Euler Flows

    S. Iyer

    SIAM J. Math. Anal. (2019)

    [journal] · [arXiv]

  25. Mixing in Reaction-Diffusion Systems: Large Phase Offsets

    S. Iyer, B. Sandstede

    Arch. Rational Mech. Anal. (2019)

    [journal] · [arXiv]

  26. Global Steady Prandtl Expansion Over a Moving Boundary, I

    S. Iyer

    Peking Math. J. (2019)

    [journal] · [arXiv]

  27. Global Steady Prandtl Expansion Over a Moving Boundary, II

    S. Iyer

    Peking Math. J. (2019)

    [journal] · [arXiv]

  28. Global Steady Prandtl Expansion Over a Moving Boundary, III

    S. Iyer

    Peking Math. J. (2019)

    [journal] · [arXiv]

  29. Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk

    S. Iyer

    Arch. Rational Mech. Anal. (2017)

    [journal] · [arXiv]