{"id":"https://openalex.org/W7143361197","doi":"https://doi.org/10.48550/arxiv.2603.26422","title":"The diffuse interface approximation to fluid-structure interaction","display_name":"The diffuse interface approximation to fluid-structure interaction","publication_year":2026,"publication_date":"2026-03-27","ids":{"openalex":"https://openalex.org/W7143361197","doi":"https://doi.org/10.48550/arxiv.2603.26422"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.26422","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.26422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.26422","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030013344","display_name":"Francis R A Aznaran","orcid":"https://orcid.org/0000-0001-9843-9852"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aznaran, Francis R. A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001963035","display_name":"Martina Buka\u010d","orcid":"https://orcid.org/0000-0003-1956-9101"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Buka\u010d, Martina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000514751","display_name":"Boris Muha","orcid":"https://orcid.org/0000-0002-0657-7412"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muha, Boris","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.014000000432133675,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.0066999997943639755,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.630299985408783},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.6256999969482422},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.590399980545044},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5742999911308289},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5595999956130981},{"id":"https://openalex.org/keywords/hyperelastic-material","display_name":"Hyperelastic material","score":0.446399986743927},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.37940001487731934},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3537999987602234}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.630299985408783},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.6256999969482422},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.590399980545044},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5742999911308289},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5595999956130981},{"id":"https://openalex.org/C147370603","wikidata":"https://www.wikidata.org/wiki/Q3801506","display_name":"Hyperelastic material","level":3,"score":0.446399986743927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43470001220703125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3840000033378601},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.37940001487731934},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35019999742507935},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33970001339912415},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.33489999175071716},{"id":"https://openalex.org/C2779126057","wikidata":"https://www.wikidata.org/wiki/Q478010","display_name":"Fluid\u2013structure interaction","level":3,"score":0.32760000228881836},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32330000400543213},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C2777824901","wikidata":"https://www.wikidata.org/wiki/Q5166389","display_name":"Convergence problem","level":3,"score":0.2800000011920929},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C2988635477","wikidata":"https://www.wikidata.org/wiki/Q28130211","display_name":"Interface model","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.26422","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.26422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.26422","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.26422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,20,44,48,66,71,108],"fluid-structure":[3,80,98],"interaction":[4,99],"problem":[5,12,39,75,104,127],"in":[6,32,43,70],"the":[7,16,26,33,38,52,59,62,77,87,90,95,103,117,122,125,129,135,152],"Eulerian,":[8],"phase-field":[9,67],"formulation.":[10],"The":[11,138,149],"is":[13,119,154],"described":[14],"using":[15,47],"Navier--Stokes":[17,136],"equations":[18],"for":[19,51,76,128],"viscous,":[21],"incompressible":[22,27],"fluid,":[23],"coupled":[24,72],"with":[25],"hyperelasticity":[28],"system,":[29],"both":[30],"written":[31,42],"Eulerian":[34],"coordinates.":[35],"This":[36],"allows":[37],"to":[40,94],"be":[41],"unified":[45],"formulation,":[46],"single":[49],"field":[50],"fluid":[53],"and":[54,134],"structure":[55],"velocities.":[56],"To":[57,101],"track":[58],"position":[60],"of":[61,74,89,151],"domain,":[63],"we":[64,85,106],"use":[65],"approach,":[68],"resulting":[69],"Cahn--Hilliard--Navier--Stokes-type":[73],"diffuse":[78,91],"interface":[79,92,97],"interaction.":[81],"Under":[82],"certain":[83],"assumptions,":[84],"prove":[86],"convergence":[88,144],"model":[93],"sharp":[96],"problem.":[100,137],"solve":[102],"numerically,":[105],"propose":[107],"novel,":[109],"strongly":[110],"coupled,":[111],"second-order":[112],"partitioned":[113],"computational":[114,158],"method":[115,153],"where":[116],"system":[118],"decoupled":[120],"into":[121],"Cahn--Hilliard":[123],"problem,":[124],"transport":[126],"left":[130],"Cauchy--Green":[131],"deformation":[132],"tensor,":[133],"problems":[139],"are":[140],"solved":[141],"iteratively":[142],"until":[143],"at":[145],"each":[146],"time":[147],"step.":[148],"performance":[150],"illustrated":[155],"on":[156],"two":[157],"examples.":[159]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-31T00:00:00"}
