Vector Fields of Cancellation for the Prandtl Operators

DOI10.4208/cmaa.2022-0004arXiv2201.10139WikidataQ114021238 ScholiaQ114021238MaRDI QIDQ6133781

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Publication date: 21 August 2023

Published in: Communications in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10139

zbMATH Keywords

well-posedness theorystructural assumptionscancellation mechanismPrandtl operatorsvector field of cancellation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Euler equations (35Q31)

Related Items

3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space ⋮ Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations ⋮ Global well-posedness of a Prandtl model from MHD in Gevrey function spaces

Cites Work

• Unnamed Item
• A note on the abstract Cauchy-Kowalewski theorem
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• Well-posedness of the Prandtl equations without any structural assumption
• Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
• MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
• Well-posedness of the Prandtl equation in Sobolev spaces

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