{"paper":{"title":"Multidimensional stochastic Burgers equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Ben Goldys, Misha Neklyudov, Zdzis{\\l}aw Brze\\'zniak","submitted_at":"2012-02-15T08:38:50Z","abstract_excerpt":"We consider multidimensional stochastic Burgers equation on the torus $\\mathbb{T}^d$ and the whole space $\\Rd$. In both cases we show that for positive viscosity $\\nu>0$ there exists a unique strong global solution in $L^p$ for $p>d$. In the case of torus we also establish a uniform in $\\nu$ a priori estimate and consider a limit $\\nu\\todown 0$ for potential solutions. In the case of $\\Rd$ uniform with respect to $\\nu$ a priori estimate established if a Beale-Kato-Majda type condition is satisfied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3230","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"}