On Korn's first inequality for tangential or normal boundary conditions with explicit constants

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We will prove that for piecewise C2-concave domains in ℝN Korn's first inequality holds for vector fields satisfying homogeneous normal or tangential boundary conditions with explicit Korn constant √2.

Details

Original languageEnglish
Pages (from-to)5695-5704
Number of pages10
JournalMathematical Methods in the Applied Sciences
Volume39
Issue number18
Publication statusPublished - 1 Dec 2016
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224260
WOS 000388308500044

Keywords

Keywords

  • Boltzmann equation, kinetic theory of gases, Korn inequality, rarefied gas flows, tangential and normal boundary conditions, variational methods including variational inequalities