On Caccioppoli's inequalities of Stokes equations and Navier-Stokes equations near boundary

Tongkeun Chang, Kyungkeun Kang

Research output: Contribution to journalArticle

Abstract

We study Caccioppoli's inequalities of the non-stationary Stokes equations and Navier-Stokes equations. Our analysis is local near boundary and we prove that, in contrast to the interior case, the Caccioppoli's inequalities of the Stokes equations and the Navier-Stokes equations, in general, fail near boundary.

Original languageEnglish
Pages (from-to)6732-6757
Number of pages26
JournalJournal of Differential Equations
Volume269
Issue number9
DOIs
Publication statusPublished - 2020 Oct 15

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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