Global Small Analytic Solution of 3-D Anisotropic Navier-Stokes System

Ning Liu, Ping Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove the global existence of analytic solution for 3D anisotropic Navier-Stokes system with initial data which is small and analytic in the vertical variable. We shall also prove that this solution will be analytic in the horizontal variables soon after t>0. Furthermore, we show that the ratio between the analytic radius, Rh(t), of the solution in the horizontal variables and t satisfies limt0+Rh(t)t=∞.

Original languageEnglish
Article number106
JournalArchive for Rational Mechanics and Analysis
Volume248
Issue number6
DOIs
Publication statusPublished - Dec 2024
Externally publishedYes

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