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Nova · Professor Researcher · re-ranking top 20…
Yan Guo

Yan Guo

Verified

Brown University · Applied Mathematics

Active 1988–2024

h-index56
Citations9.9k
Papers28061 last 5y
Funding$2.6M1 active
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Research topics

  • Mathematics
  • Mathematical analysis
  • Thermodynamics
  • Physics
  • Quantum mechanics
  • Mechanics

Selected publications

  • Validity of steady Prandtl layer expansions

    Communications on Pure and Applied Mathematics · 2023 · 57 citations

    1st authorCorresponding
    • Mathematics
    • Mathematical analysis
    • Mechanics

    Abstract Let the viscosity for the 2D steady Navier‐Stokes equations in the region and with no slip boundary conditions at . For , we justify the validity of the steady Prandtl layer expansion for scaled Prandtl layers, including the celebrated Blasius boundary layer. Our uniform estimates in ε are achieved through a fixed‐point scheme: for solving the Navier‐Stokes equations, where are the tangential and normal velocities at , DNS stands for of the vorticity equation for the normal velocity v , and the compatibility ODE for at .

    PublisherOA PDFDOI

  • Regularity and Expansion for Steady Prandtl Equations

    Communications in Mathematical Physics · 2021 · 37 citations

    1st authorCorresponding
    • Mathematics
    • Mathematical analysis
    • Physics
    PublisherDOI

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