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Global regularity for 2D Burgers with hyper-dissipation
Prove global regularity, or blow-up, for the two-dimensional Burgers equation with bi-Laplacian dissipation and large initial data.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "analysis" |
| 5 | ], |
| 6 | "type": "proof", |
| 7 | "source": { |
| 8 | "key": "aimpl", |
| 9 | "name": "AIM Problem Lists", |
| 10 | "url": "http://aimpl.org/smallscalefluid/3/", |
| 11 | "id": "smallscalefluid 3", |
| 12 | "curator": "American Institute of Mathematics", |
| 13 | "status": "open", |
| 14 | "as_of": "2026-10-20", |
| 15 | "catalog": "0521c19bbd38" |
| 16 | }, |
| 17 | "review": true, |
| 18 | "approval": "first-time" |
| 19 | } |