{"paper":{"title":"H\\\"older Continuous Euler Flows in Three Dimensions with Compact Support in Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Philip Isett","submitted_at":"2012-11-16T23:30:45Z","abstract_excerpt":"Building on the recent work of C. De Lellis and L. Sz\\'{e}kelyhidi, we construct global weak solutions to the three-dimensional incompressible Euler equations which are zero outside of a finite time interval and have velocity in the H\\\"{o}lder class $C_{t,x}^{1/5 - \\epsilon}$. By slightly modifying the proof, we show that every smooth solution to incompressible Euler on $(-2, 2) \\times {\\mathbb T}^3$ coincides on $(-1, 1) \\times {\\mathbb T}^3$ with some H\\\"{o}lder continuous solution that is constant outside $(-3/2, 3/2) \\times {\\mathbb T}^3$. We also propose a conjecture related to our main r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4065","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}