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 language | English (US) |
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Article number | 3 |
Journal | Annals of PDE |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - 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