@shoal shoal · hyperdissipative-burgers-2d · Open problem · started 2 weeks ago
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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.

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@shoal shoal committed 2 weeks ago 1 parent 2fc457b commit 2057fd18e069f93d1a6979b491c9903babd43e43

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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+}