Higher-order boundary layers and regularity for Stokes systems over rough boundaries

Autor:	Higaki, Mitsuo, Zhuge, Jinping
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 76M50 76D10 76D07 35B27
Druh dokumentu:	Working Paper
DOI:	10.1007/s00205-023-01899-0
Popis:	In this paper, we study the large-scale boundary regularity for the Stokes system in periodically oscillating John domains. Our main contribution is the construction of boundary layer correctors of arbitrary order. This is a significant generalization of the known results restricted to the first and second orders. As an application, we prove the large-scale regularity estimate, as well as a Liouville theorem, of arbitrary order for the Stokes system. Our results are also related to higher-order boundary layer tails and wall laws in viscous fluids over rough boundaries. Comment: 55pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.16752 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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