Sameer Iyer

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

Research Interests: Partial Differential Equations, Fluid Mechanics

Papers:

• D. Gerard-Varet, S. Iyer, Y. Maekawa, Improved well-posedness for the Triple-Deck and related models via concavity, Submitted May 2022, [arXiv]
• S. Iyer, N. Masmoudi, Reversal in the Stationary Prandtl Equations, Submitted March 2022, [arXiv]
• S. Iyer, N. Masmoudi, Boundary Layer Expansions for the Stationary Navier-Stokes Equations, Ars Inveniendi Analytica (2021) [journal], [arXiv]
• S. Iyer, N. Masmoudi, Global-in-x Stability of Steady Prandtl Expansions for 2D Navier-Stokes Flows, Submitted September 2020, [arXiv]
• T. Buckmaster, S. Iyer, Formation of unstable shocks for 2D isentropic compressible Euler, Comm. Math. Phys. (2021), [journal], [arXiv]
• S. Iyer, V. Vicol, Real Analytic Local Wellposedness for the Triple Deck, Comm. Pure Appl. Math. (2020), [journal], [arXiv]
• S. Iyer, On Global-in-x Stability of Blasius Profiles, Arch. Rational Mech. Anal. (2020), [journal], [arXiv]
• Y. Guo, S. Iyer, Regularity and Expansion for Steady Prandtl Equations, Comm. Math Phys. (2021), [journal], [arXiv]
• Y. Guo, S. Iyer, Validity of Steady Prandtl Layer Expansions, Comm. Pure Appl. Math. (accepted 2022), [arXiv]
• Y. Guo, S. Iyer, Steady Prandtl Layer Expansions with External Forcing, October 2018, [arXiv]
• S. Iyer, C. Zhou, Stationary Inviscid Limit to Shear Flows, J. Differ. Equ. (2019), [journal], [erratum] [arXiv]
• S. Iyer, Steady Prandtl Layer Expansions over a Moving Boundary: Non-Shear Euler Flows, SIAM J. Math. Anal. (2019), [journal], [arXiv]
• S. Iyer, B. Sandstede, Mixing in Reaction-Diffusion Systems: Large Phase Offsets, Arch. Rational Mech. Anal. (2019), [journal], [arXiv]
• S. Iyer, Global Steady Prandtl Expansion Over a Moving Boundary, I, Peking Math. J. (2019), [journal], [arXiv]
• S. Iyer, Global Steady Prandtl Expansion Over a Moving Boundary, II, Peking Math. J. (2019), [journal], [arXiv]
• S. Iyer, Global Steady Prandtl Expansion Over a Moving Boundary, III, Peking Math. J. (2019), [journal], [arXiv]
• S. Iyer, Steady Prandtl Boundary Layer Expansion of Navier-Stokes Flows over a Rotating Disk, Arch. Rational Mech. Anal. (2017), [journal], [arXiv]

Seminar:

UC Davis PDE and Applied Math Seminar

Teaching:

Winter 2022, MAT21C, Integral Calculus
Fall 2021, MAT127A, Real Analysis

Vita:

CV (updated 12/2021)
Postdoc, Princeton, 2018-2021
Ph.D., Brown, 2018 (advisor: Yan Guo)
Sc.M., Brown, 2018
Sc.B., Brown, 2012