Estimates Near the Boundary for Critical SQG

Peter Constantin, Mihaela Ignatova

Research output: Contribution to journalArticle

Abstract

We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.

Original languageEnglish (US)
Article number3
JournalAnnals of PDE
Volume6
Issue number1
DOIs
StatePublished - Jun 1 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
  • Physics and Astronomy(all)

Keywords

  • Bounded domains
  • Estimates near the boundary
  • Global regularity
  • SQG

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