{"paper":{"title":"Solver Exactness, Learned Flexibility: Equivariant Boundary-Correction Operators for Stokes Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"physics.flu-dyn","authors_text":"Denis Gueyffier (Direction Scientifique G\\'en\\'erale, France), Institut Polytechnique de Paris, ONERA, Palaiseau","submitted_at":"2026-06-23T18:32:42Z","abstract_excerpt":"The drag and mobility of bodies in viscous (Stokes) flow govern problems in shape design, suspensions, or microorganism swimming. Classical solvers compute them accurately but expensively; purely learned surrogates are fast but unreliable off their training data. We combine both: a solver's exactness for the part of the solution operator known in closed form, and learning for the part that is not. For incompressible Stokes flow the elliptic-core kernel is already known: in free space the Leray projector is a single rotation-equivariant Stokeslet with no free parameters, and the boundary-integr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.25075","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.25075/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}