{"paper":{"title":"Global stabilization of the full attraction-repulsion Keller-Segel system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hai-Yang Jin, Zhi-An Wang","submitted_at":"2019-05-15T07:28:43Z","abstract_excerpt":"We are concerned with the following full Attraction-Repulsion Keller-Segel (ARKS) system \\begin{equation}\\label{ARKS}\\tag{$\\ast$} \\begin{cases} u_t=\\Delta u-\\nabla\\cdot(\\chi u\\nabla v)+\\nabla\\cdot(\\xi u\\nabla w), &x\\in \\Omega, ~~t>0,\n  v_t=D_1\\Delta v+\\alpha u-\\beta v,& x\\in \\Omega, ~~t>0,\n  w_t=D_2\\Delta w+\\gamma u-\\delta w, &x\\in \\Omega, ~~t>0,\\\\ u(x,0)=u_0(x),~v(x,0)= v_0(x), w(x,0)= w_0(x) & x\\in \\Omega, \\end{cases} \\end{equation} in a bounded domain $\\Omega\\subset \\R^2$ with smooth boundary subject to homogeneous Neumann boundary conditions. %The parameters $D_1,D_2,\\chi,\\xi,\\alpha,\\beta,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.05990","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"}