{"paper":{"title":"A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"A fully averaged poroelastic Kirchhoff plate simplifies coupling to incompressible viscous fluid.","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrew Scharf, Felix Brandt, Josip Tamba\\v{c}a, Sun\\v{c}ica \\v{C}ani\\'c","submitted_at":"2026-05-17T15:13:53Z","abstract_excerpt":"We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully averaged formulation offers several advantages over the classical Biot poroelastic plate model: both elastodynamic and pressure equations are posed on a codimension-one interface, the resulting numerical schemes are simpler to implement and computationally more efficient, and the fluid-structure coupling is more natural.We analyze a linearly coupled fluid-structure interaction problem with kinematic and dynamic inte"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The fully averaged formulation offers several advantages over the classical Biot poroelastic plate model: both elastodynamic and pressure equations are posed on a codimension-one interface, the resulting numerical schemes are simpler to implement and computationally more efficient, and the fluid-structure coupling is more natural.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The analysis of strong solutions depends on the existence of a regularized version of the coupled problem for which the spatial operator is sectorial and satisfies maximal L^p-regularity; the paper does not specify how the regularization is constructed or whether the limit as the regularization parameter tends to zero recovers the original system.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Develops a fully averaged poroelastic Kirchhoff plate model interacting with time-dependent Stokes flow, proves existence of weak and strong solutions, shows exponential decay, and demonstrates a finite element method that approximates the full Biot-Stokes system in the thin limit.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A fully averaged poroelastic Kirchhoff plate simplifies coupling to incompressible viscous fluid.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"58508a7a4151e9a429a5d6530df2e1123f1333b89afe1a34dd8f83c3099b918a"},"source":{"id":"2605.17496","kind":"arxiv","version":1},"verdict":{"id":"bbbe224a-1ce1-4b43-bebf-84ecfb61d5de","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:13:02.783975Z","strongest_claim":"The fully averaged formulation offers several advantages over the classical Biot poroelastic plate model: both elastodynamic and pressure equations are posed on a codimension-one interface, the resulting numerical schemes are simpler to implement and computationally more efficient, and the fluid-structure coupling is more natural.","one_line_summary":"Develops a fully averaged poroelastic Kirchhoff plate model interacting with time-dependent Stokes flow, proves existence of weak and strong solutions, shows exponential decay, and demonstrates a finite element method that approximates the full Biot-Stokes system in the thin limit.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The analysis of strong solutions depends on the existence of a regularized version of the coupled problem for which the spatial operator is sectorial and satisfies maximal L^p-regularity; the paper does not specify how the regularization is constructed or whether the limit as the regularization parameter tends to zero recovers the original system.","pith_extraction_headline":"A fully averaged poroelastic Kirchhoff plate simplifies coupling to incompressible viscous fluid."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17496/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T22:31:19.617068Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:21:48.657599Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.674262Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.639475Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"4e214fcfbbf9e2c31337a6203fa8b8fc105e8ad4eae86fe346e17e6db75a6948"},"references":{"count":80,"sample":[{"doi":"","year":2023,"title":"A. Agresti and A. Hussein,MaximalL p-regularity andH ∞-calculus for block operator matrices and applications, J. Funct. Anal., 285 (2023), Paper No. 110146","work_id":"4ac55d11-3201-4c69-85e7-9b4958aef863","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1995,"title":"Amann,Linear and Quasilinear Parabolic Problems","work_id":"0c8ad999-7945-4682-8fcf-e02ebbf2c8d3","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"H. Amann,On the strong solvability of the Navier–Stokes equations, J. Math. Fluid Mech., 2 (2000), 16–98","work_id":"34f6aee0-aad6-4894-a457-a6dce246399b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"I. Ambartsumyan, V. J. Ervin, T. Nguyen, and I. Yotov,A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media, ESAIM Math. Model. Numer. 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