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

Tongkeun Chang, Kyungkeun Kang

Research output: Contribution to journalArticlepeer-review

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

Bibliographical note

Funding Information:
T. Chang is partially supported by NRF-2017R1D1A1B03033427 and K. Kang is partially supported by NRF-2019R1A2C1084685 and NRF-2015R1A5A1009350.

Funding Information:
T. Chang is partially supported by NRF - 2017R1D1A1B03033427 and K. Kang is partially supported by NRF - 2019R1A2C1084685 and NRF - 2015R1A5A1009350 .

Publisher Copyright:
© 2020 Elsevier Inc.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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