{"paper":{"title":"On the Cubic Lowest Landau Level Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"(2) CIMS, (3) IECL), Laurent Thomann (3) ((1) LM-Orsay, Patrick G\\'erard (1), Pierre Germain (2)","submitted_at":"2017-09-13T12:17:56Z","abstract_excerpt":"We study dynamical properties of the  cubic lowest Landau level  equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We  obtain bounds on the decay of general stationary solutions. We then provide a classification of stationary waves with a finite number of zeros.  Finally, we are able to establish which of these stationary waves are stable, through a variational analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04276","kind":"arxiv","version":1},"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"}