Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains

Hi Jun Choe, Yunsoo Jang, Minsuk Yang

Research output: Contribution to journalArticle

Abstract

We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.

Original languageEnglish
Pages (from-to)163-176
Number of pages14
JournalNonlinear Analysis, Theory, Methods and Applications
Volume163
DOIs
Publication statusPublished - 2017 Nov 1

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Suitable Weak Solutions
Time-varying
Navier-Stokes Equations
Sobolev spaces
Energy Estimates
Lebesgue Space
Stokes Equations
Sobolev Spaces
Compactness

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "We consider suitable weak solutions to the Navier–Stokes equations in time varying domains. We develop Schauder theory for the approximate Stokes equations in time varying domains whose solutions satisfy a uniform localized energy estimate including boundary. Existence of suitable weak solutions in time varying domains follows from compactness in Lebesgue and Sobolev spaces.",
author = "Choe, {Hi Jun} and Yunsoo Jang and Minsuk Yang",
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