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:
- 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
Submitted May 2022, [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 September 2020, [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
Submitted 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]
Seminar:
UC Davis PDE and Applied Math Seminar
Teaching:
Winter 2023, MAT127A, Real Analysis
Fall 2022, MAT21B, Integral Calculus
Winter 2022, MAT21B, 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