{"paper":{"title":"Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francisco J. Su\\'arez-Grau, Mar\\'ia Anguiano","submitted_at":"2017-12-16T18:05:31Z","abstract_excerpt":"We consider the Stokes system in a thin porous medium $\\Omega_\\varepsilon$ of thickness $\\varepsilon$ which is perforated by periodically distributed solid cylinders of size $\\varepsilon$. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter $\\gamma$. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as $\\varepsilon$ goes to zero. Using an adaptation of the unfolding method, we give, following the values of $\\gamma$, different limit systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05998","kind":"arxiv","version":2},"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"}