{"paper":{"title":"Unconditionally energy stable fully discrete schemes for a chemo-repulsion model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Diego Armando Rueda-G\\'omez, Francisco Guill\\'en-Gonz\\'alez, Mar\\'ia \\'Angeles Rodr\\'iguez-Bellido","submitted_at":"2018-07-03T12:31:40Z","abstract_excerpt":"This work is devoted to study unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: Find $u \\geq 0$, the cell density, and $v \\geq 0$, the chemical concentration, such that $$ \\left\\{ \\begin{array} [c]{lll} \\partial_t u - \\Delta u - \\nabla\\cdot (u\\nabla v)=0 \\ \\ \\mbox{in}\\ \\Omega,\\ t>0,\\\\ \\partial_t v - \\Delta v + v = u \\ \\ \\mbox{in}\\ \\Omega,\\ t>0, \\end{array} \\right. $$ in a bounded domain $\\Omega\\subseteq \\mathbb{R}^d$, $d=2,3$. By using a regularization technique, we propose three fully discrete Finite Element (FE) app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01118","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"}