{"paper":{"title":"Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Michael Winkler","submitted_at":"2017-04-19T08:35:01Z","abstract_excerpt":"A class of chemotaxis-Stokes systems generalizing the prototype \\[\\left\\{ \\begin{array}{rcl} n_t + u\\cdot\\nabla n &=& \\nabla \\cdot \\big(n^{m-1}\\nabla n\\big) - \\nabla \\cdot \\big(n\\nabla c\\big), c_t + u\\cdot\\nabla c &=& \\Delta c-nc, u_t +\\nabla P &=& \\Delta u + n \\nabla \\phi, \\qquad \\nabla\\cdot u =0, \\end{array} \\right. \\] is considered in bounded convex three-dimensional domains, where $\\phi\\in W^{2,\\infty}(\\Omega)$ is given. The paper develops an analytical approach which consists in a combination of energy-based arguments and maximal Sobolev regularity theory, and which allows for the constru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05648","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"}