H~1-regularity Of Incompressible Navier-Stokes Equations Over Narrow 3D Regions

Posted on:2022-12-03

Degree:Master

Type:Thesis

Country:China

Candidate:C M Yang

Full Text:PDF

GTID:2510306746968069

Subject:Applied Mathematics

Abstract/Summary:

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Assume that Q2 is a bounded rectangular domain in R2 and ?>0 is suitable small.We study the incompressible Navier-Stokes equations on 3D domain?:=Q?=Q2�(0,?).Consider the boundary conditions of periodic type.A rigorous proof of H1-regularity for the equations is provided in the present paper.Our proof improves the related result in the existing papers.

Keywords/Search Tags:

Incompressible Navier-Stokes Equations, Thin 3D Domains, Strong Solution, H~1-regularity

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