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Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain

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arxiv 2004.05537 v1 pith:T3BUDC5V submitted 2020-04-12 math.AP

Chao Wang , Yuxi Wang , Zhifei Zhang This is my paper · ORCID
classification math.AP
keywords navier-stokesdomaingevreyhydrostaticsystemthinapproximateconvex
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abstract

In this paper, we justify the limit from the Navier-Stokes system in a thin domain to the hydrostatic Navier-Stokes/Prandtl system for the convex initial data with Gevrey 9/8 regualrity in $x$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Prandtl Equations and Related Boundary Layer Equations

    math.AP 2024-11 unverdicted novelty 5.0 of 10

    The book claims new well-posedness theorems for Prandtl and MHD boundary layer equations, but the provided text only shows the survey portion.

  2. MAGNET-KG: Maximum-Entropy Geometric Networks for Temporal Knowledge Graphs: Theoretical Foundations and Mathematical Framework

    cs.IT 2025-09 reject novelty 4.0 of 10

    A maximum-entropy framework yields a log-linear score and a cloglog temporal link for knowledge graphs, and claims hyperbolic geometry is required in sparse regimes.

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