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- W3135858984 abstract "Due to degeneracy near the boundary, the question of high regularity for solutions to the steady Prandtl equations has been a longstanding open question since the celebrated work of Oleinik. We settle this open question in affirmative in the absence of an external pressure. Our method is based on energy estimates for the quotient, $$q = frac{v}{bar{u}}$$ , $$bar{u}$$ being the classical Prandtl solution, via the linear derivative Prandtl (LDP) equation. As a consequence, our regularity result leads to the construction of Prandtl layer expansion up to any order." @default.
- W3135858984 created "2021-03-15" @default.
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- W3135858984 date "2021-03-01" @default.
- W3135858984 modified "2023-10-16" @default.
- W3135858984 title "Regularity and Expansion for Steady Prandtl Equations" @default.
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- W3135858984 doi "https://doi.org/10.1007/s00220-021-03964-9" @default.
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