{"paper":{"title":"Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mark Freidlin, Sandra Cerrai, Zdzislaw Brzezniak","submitted_at":"2014-01-24T09:57:53Z","abstract_excerpt":"We are dealing with the Navier-Stokes equation in a bounded regular domain $D$ of $\\mathbb{R}^2$, perturbed by an additive Gaussian noise $\\partial w^{Q_\\delta}/\\partial t$, which is white in time and colored in space. We assume that the correlation radius of the noise gets smaller and smaller as $\\delta\\searrow 0$, so that the noise converges to the white noise in space and time. For every $\\delta>0$ we introduce the large deviation action functional $S^\\delta_{0,T}$ and the corresponding quasi-potential $U_\\delta$ and, by using arguments from relaxation and $\\Gamma$-convergence we show that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6299","kind":"arxiv","version":2},"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"}