{"paper":{"title":"A degenerate chemotaxis system with flux limitation: Finite-time blow-up","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Michael Winkler, Nicola Bellomo","submitted_at":"2016-06-21T07:59:10Z","abstract_excerpt":"This paper is concerned with radially symmetric solutions of the parabolic-elliptic version of the Keller-Segel system with flux limitation, as given by\n  \\begin{equation}\n  \\left\\{ \\begin{array}{l} \\displaystyle u_t=\\nabla \\cdot \\Big(\\frac{u\\nabla u}{\\sqrt{u^2+|\\nabla u|^2}}\\Big) - \\chi \\, \\nabla \\cdot \\Big(\\frac{u\\nabla v}{\\sqrt{1+|\\nabla v|^2}}\\Big), \\\\[1mm]\n  0=\\Delta v - \\mu + u,\n  \\end{array} \\right.\n  \\qquad \\qquad (\\star)\n  \\end{equation} under the initial condition $u|_{t=0}=u_0>0$ and no-flux boundary conditions in a ball $\\Omega\\subset R^n$, where $\\chi>0$ and $\\mu:=\\frac{1}{|\\Omega"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06464","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"}