{"paper":{"title":"Global regular motions for compressible barotropic viscous fluids. Stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"H-O. Bae, Wojciech M. Zaj\\k{a}czkowski","submitted_at":"2015-08-25T12:30:28Z","abstract_excerpt":"We consider viscous compressible barotropic motions in a bounded domain $\\Omega \\subset \\mathbb{R}^3$ with the Dirichlet boundary conditions for velocity. We assume the existence of some special sufficiently regular solutions $v_s$ (velocity), $\\varrho_s$ (density) of the problem. By the special solutions we can choose spherically symmetric solutions. Let $v$, $\\varrho$ be a~solution to our problem. Then we are looking for differences $u=v-v_s$, $\\eta=\\varrho-\\varrho_s$. We prove existence of $u$, $\\eta$ such that $u,\\eta\\in L_\\infty(kT,(k+1)T;H^2(\\Omega))$, $u_t,\\eta_t\\in L_\\infty(kT,(k+1)T;H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06127","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"}