{"id":"https://openalex.org/W7171741052","doi":"https://doi.org/10.48550/arxiv.2607.25296","title":"Double phase flow under Lavrentiev phenomenon","display_name":"Double phase flow under Lavrentiev phenomenon","publication_year":2026,"publication_date":"2026-07-28","ids":{"openalex":"https://openalex.org/W7171741052","doi":"https://doi.org/10.48550/arxiv.2607.25296"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2607.25296","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.25296","pdf_url":"https://arxiv.org/pdf/2607.25296","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.25296","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125010250","display_name":"Yoshiki Kaiho","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kaiho, Yoshiki","raw_affiliation_strings":["Tohoku University , Sendai , 980-8578 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tohoku University , Sendai , 980-8578 , Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5125010250"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.98580002784729,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.98580002784729,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.010200000368058681,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.00039999998989515007,"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/double-phase-functionals","display_name":"double phase functionals","score":0.8209999799728394},{"id":"https://openalex.org/keywords/lavrentiev-phenomenon","display_name":"Lavrentiev phenomenon","score":0.9980000257492065},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equations","display_name":"parabolic equations","score":0.902999997138977},{"id":"https://openalex.org/keywords/evolution-variational-inequalities","display_name":"evolution variational inequalities","score":0.9190000295639038},{"id":"https://openalex.org/keywords/analytic-semigroups","display_name":"analytic semigroups","score":0.8420000076293945}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643999814987183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5568000078201294},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5501000285148621},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5254999995231628},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.5218999981880188},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5145000219345093},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3953000009059906},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.35089999437332153},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.34389999508857727},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.32429999113082886},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2865999937057495},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.2718000113964081},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26669999957084656},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.26350000500679016},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2624000012874603},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C2777122100","wikidata":"https://www.wikidata.org/wiki/Q25313552","display_name":"Double-well potential","level":3,"score":0.250900000333786},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2506999969482422}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2607.25296","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.25296","pdf_url":"https://arxiv.org/pdf/2607.25296","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2607.25296","doi":"https://doi.org/10.48550/arxiv.2607.25296","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.25296","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:2607.25296","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.25296","pdf_url":"https://arxiv.org/pdf/2607.25296","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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/W7171741052.pdf","grobid_xml":"https://content.openalex.org/works/W7171741052.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7138360792","https://openalex.org/W7204905876","https://openalex.org/W1517342911","https://openalex.org/W4390980022","https://openalex.org/W4415056144","https://openalex.org/W3008368753","https://openalex.org/W2044879337","https://openalex.org/W3210454242","https://openalex.org/W4408589863","https://openalex.org/W7134888053"],"abstract_inverted_index":{"This":[0],"paper":[1,175],"deals":[2],"with":[3,7,138],"parabolic":[4],"equations":[5],"associated":[6,40],"double":[8,15,41],"phase":[9,16,42],"functionals.":[10],"It":[11],"is":[12,33,130,136,164,187],"known":[13],"that":[14,67,79,106,116,126,133],"functionals":[17],"may":[18],"exhibit":[19],"the":[20,36,39,46,80,94,99,117,127,134,141,155,160,179,183],"Lavrentiev":[21,184],"phenomenon,":[22,185],"which":[23,186],"indicates":[24],"an":[25],"existence":[26],"of":[27,38,72,96,111,149,173,182],"a":[28,65,104,122,191],"singular":[29,47],"minimizer.":[30,48],"Our":[31],"aim":[32],"to":[34,84,140],"investigate":[35,103],"process":[37],"flow":[43,81],"evolving":[44],"toward":[45],"For":[49],"this":[50,174],"purpose,":[51],"we":[52,68,77,102,107,114],"study":[53],"whether":[54],"solutions":[55],"can":[56],"be":[57,85],"approximated":[58],"by":[59,166],"smooth":[60,73,112,118,150],"functions.":[61],"We":[62,88],"first":[63],"observe":[64],"phenomenon":[66,105],"call":[69,108],"finite-time":[70,147],"loss":[71,148],"approximability;":[74,113],"more":[75],"precisely,":[76],"prove":[78,115],"eventually":[82],"ceases":[83],"smoothly":[86],"approximable.":[87],"also":[89],"establish":[90],"quantitative":[91],"estimates":[92],"on":[93],"time":[95,124],"loss.":[97],"On":[98],"other":[100],"hand,":[101],"short-time":[109,161],"persistence":[110,162],"approximability":[119,151],"persists":[120],"for":[121],"short":[123],"provided":[125],"initial":[128],"datum":[129],"regular":[131],"and":[132],"functional":[135],"nondegenerate":[137],"respect":[139],"gradient":[142],"variable.":[143],"The":[144,171],"results":[145],"concerning":[146],"are":[152],"derived":[153],"from":[154],"evolution":[156],"variational":[157],"inequality,":[158],"whereas":[159],"result":[163],"obtained":[165],"applying":[167],"analytic":[168],"semigroup":[169],"theory.":[170],"novelty":[172],"lies":[176],"in":[177],"studying":[178],"dynamical":[180],"aspect":[181],"usually":[188],"regarded":[189],"as":[190],"stationary":[192],"phenomenon.":[193]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-07-30T00:00:00"}
