{"id":"https://openalex.org/W7221861069","doi":"https://doi.org/10.48550/arxiv.2610.19116","title":"Wetting theorems in capillarity theory","display_name":"Wetting theorems in capillarity theory","publication_year":2026,"publication_date":"2026-10-13","ids":{"openalex":"https://openalex.org/W7221861069","doi":"https://doi.org/10.48550/arxiv.2610.19116"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.19116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.19116","pdf_url":"https://arxiv.org/pdf/2610.19116","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.19116","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070174582","display_name":"Francesco Maggi","orcid":"https://orcid.org/0000-0003-2509-5360","observed_orcids":["https://orcid.org/0000-0003-2509-5360"]},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maggi, Francesco","raw_affiliation_strings":["Department of Mathematics , The University of Texas at Austin , 2515 Speedway , Stop C1200 , Austin TX 78712-1202 , United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , The University of Texas at Austin , 2515 Speedway , Stop C1200 , Austin TX 78712-1202 , United States of America","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016869905","display_name":"Michael Novack","orcid":"https://orcid.org/0000-0002-6608-9795","observed_orcids":["https://orcid.org/0000-0002-6608-9795"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Novack, Michael","raw_affiliation_strings":["Department of Mathematics , The University of Texas at Austin , 2515 Speedway , Stop C1200 , Austin TX 78712-1202 , United States of America","School of Mathematics , University of Minnesota , 127 Vincent Hall , 206 Church St. SE , Minneapolis , MN 55455 , United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , The University of Texas at Austin , 2515 Speedway , Stop C1200 , Austin TX 78712-1202 , United States of America","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"School of Mathematics , University of Minnesota , 127 Vincent Hall , 206 Church St. SE , Minneapolis , MN 55455 , United States of America","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107023093","display_name":"Daniel Restrepo","orcid":"https://orcid.org/0000-0002-3831-2312","observed_orcids":["https://orcid.org/0000-0002-3831-2312"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Restrepo, Daniel","raw_affiliation_strings":["School of Mathematics , University of Minnesota , 127 Vincent Hall , 206 Church St. SE , Minneapolis , MN 55455 , United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics , University of Minnesota , 127 Vincent Hall , 206 Church St. SE , Minneapolis , MN 55455 , United States of America","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/plateau-borders","display_name":"Plateau borders","score":0.8999999761581421},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"uniform convergence","score":0.800000011920929}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6949999928474426},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6687999963760376},{"id":"https://openalex.org/C30094659","wikidata":"https://www.wikidata.org/wiki/Q7549816","display_name":"Soap film","level":2,"score":0.6639999747276306},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5633000135421753},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5583000183105469},{"id":"https://openalex.org/C2780030769","wikidata":"https://www.wikidata.org/wiki/Q4968575","display_name":"Plateau (mathematics)","level":2,"score":0.5317999720573425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5110999941825867},{"id":"https://openalex.org/C134514944","wikidata":"https://www.wikidata.org/wiki/Q817136","display_name":"Wetting","level":2,"score":0.4779999852180481},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4629000127315521},{"id":"https://openalex.org/C135959358","wikidata":"https://www.wikidata.org/wiki/Q76190","display_name":"Soap bubble","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33709999918937683},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2946000099182129}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.19116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.19116","pdf_url":"https://arxiv.org/pdf/2610.19116","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.19116","doi":"https://doi.org/10.48550/arxiv.2610.19116","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.19116","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.19116","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.19116","pdf_url":"https://arxiv.org/pdf/2610.19116","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221861069.pdf","grobid_xml":"https://content.openalex.org/works/W7221861069.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3045900047","https://openalex.org/W4388184516","https://openalex.org/W4221101208","https://openalex.org/W4403577570","https://openalex.org/W6927425706","https://openalex.org/W4396846022","https://openalex.org/W3006499943","https://openalex.org/W238582996","https://openalex.org/W2589834446","https://openalex.org/W4400668302"],"abstract_inverted_index":{"We":[0],"prove":[1],"the":[2,12,29],"uniform":[3],"convergence":[4],"of":[5,15,34],"Plateau":[6,9],"borders":[7],"to":[8],"singularities":[10],"in":[11,28],"vanishing-volume":[13],"limit":[14],"a":[16,31,43],"soap":[17,44],"film":[18,45],"model":[19],"based":[20],"on":[21],"capillarity":[22],"theory.":[23],"The":[24],"results":[25],"are":[26],"formulated":[27],"context":[30],"new":[32],"type":[33],"local":[35],"area":[36],"minimizer":[37],"that":[38],"takes":[39],"into":[40],"account":[41],"how":[42],"locally":[46],"separates":[47],"its":[48],"surrounding":[49],"space.":[50]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-16T00:00:00"}