{"id":"https://openalex.org/W4413677194","doi":"https://doi.org/10.1007/s00332-025-10202-2","title":"The Doubly Nonlocal Hele-Shaw\u2013Cahn\u2013Hilliard System with Singular Potential and Nonconstant Mobility","display_name":"The Doubly Nonlocal Hele-Shaw\u2013Cahn\u2013Hilliard System with Singular Potential and Nonconstant Mobility","publication_year":2025,"publication_date":"2025-08-26","ids":{"openalex":"https://openalex.org/W4413677194","doi":"https://doi.org/10.1007/s00332-025-10202-2"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-025-10202-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10202-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10202-2.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10202-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052979989","display_name":"Malte A. Peter","orcid":"https://orcid.org/0000-0001-6107-9806"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Malte A. Peter","raw_affiliation_strings":["Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, Universit\u00e4 tsstrasse 12a, 86159, Augsburg, Germany","Institute of Mathematics, University of Augsburg, Universit\u00e4tsstrasse 12a, 86159, Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, Universit\u00e4 tsstrasse 12a, 86159, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]},{"raw_affiliation_string":"Institute of Mathematics, University of Augsburg, Universit\u00e4tsstrasse 12a, 86159, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051579892","display_name":"Jean Louis Woukeng","orcid":"https://orcid.org/0000-0002-7903-7126"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jean Louis Woukeng","raw_affiliation_strings":["Institute of Mathematics, University of Augsburg, Universit\u00e4tsstrasse 12a, 86159, Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Augsburg, Universit\u00e4tsstrasse 12a, 86159, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052979989"],"corresponding_institution_ids":["https://openalex.org/I179225836"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11457469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.5785170197486877},{"id":"https://openalex.org/keywords/hele-shaw-flow","display_name":"Hele-Shaw flow","score":0.4950498640537262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45442062616348267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41766414046287537},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3970147967338562},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.18738144636154175},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1532377004623413},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.07451340556144714},{"id":"https://openalex.org/keywords/open-channel-flow","display_name":"Open-channel flow","score":0.06538298726081848}],"concepts":[{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.5785170197486877},{"id":"https://openalex.org/C45502583","wikidata":"https://www.wikidata.org/wiki/Q5701708","display_name":"Hele-Shaw flow","level":4,"score":0.4950498640537262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45442062616348267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41766414046287537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3970147967338562},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.18738144636154175},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1532377004623413},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.07451340556144714},{"id":"https://openalex.org/C180925781","wikidata":"https://www.wikidata.org/wiki/Q514096","display_name":"Open-channel flow","level":3,"score":0.06538298726081848}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00332-025-10202-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10202-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10202-2.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00332-025-10202-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-025-10202-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-025-10202-2.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413677194.pdf","grobid_xml":"https://content.openalex.org/works/W4413677194.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W308495783","https://openalex.org/W1965185886","https://openalex.org/W1967684581","https://openalex.org/W2010502651","https://openalex.org/W2081762789","https://openalex.org/W2085378306","https://openalex.org/W2088448644","https://openalex.org/W2106237488","https://openalex.org/W2153050734","https://openalex.org/W2164861724","https://openalex.org/W2581337121","https://openalex.org/W2745919523","https://openalex.org/W2890728388","https://openalex.org/W2953831595","https://openalex.org/W2963228473","https://openalex.org/W2963431389","https://openalex.org/W3013871356","https://openalex.org/W3088030561","https://openalex.org/W3101057789","https://openalex.org/W3132724395","https://openalex.org/W4210831178","https://openalex.org/W4220774256","https://openalex.org/W4224294892","https://openalex.org/W4252104256","https://openalex.org/W4392136714","https://openalex.org/W4392856838"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"the":[3,34,47,56,60,71,87,90,93,97,101,104,111,118,127],"rigorous":[4],"asymptotic":[5],"analysis":[6],"in":[7,45,70],"thin":[8,65],"domains":[9],"of":[10,15,62,89,129],"a":[11,42,74],"diffuse":[12],"interface":[13],"model":[14,79,120],"two-component":[16],"Hele-Shaw":[17],"flow":[18],"based":[19],"on":[20,55,92,110],"an":[21,82],"advective":[22],"nonlocal":[23,77],"Cahn\u2013Hilliard":[24],"equation":[25],"with":[26],"singular":[27],"potential":[28],"and":[29,53,103,124],"nonconstant":[30],"nondegenerate":[31],"mobility":[32,105],"for":[33,64],"relative":[35,57,94,112],"concentration.":[36,58,95],"The":[37],"velocity":[38],"is":[39,50,121],"determined":[40],"by":[41],"Stokes":[43],"system":[44,80],"which":[46],"inhomogeneous":[48],"viscosity":[49,91,102],"highly":[51],"oscillating":[52],"dependent":[54],"Using":[59],"notion":[61],"sigma-convergence":[63],"heterogeneous":[66],"media,":[67],"we":[68,114,125],"obtain":[69],"homogenization":[72],"limit":[73],"new":[75,119],"doubly":[76],"Hele-Shaw\u2013Cahn\u2013Hilliard-type":[78],"containing":[81],"additional":[83],"term":[84],"arising":[85],"from":[86],"dependence":[88],"In":[96],"case":[98],"when":[99],"both":[100],"coefficients":[106],"do":[107],"not":[108],"depend":[109],"concentration,":[113],"additionally":[115],"prove":[116],"that":[117],"well":[122],"posed":[123],"establish":[126],"existence":[128],"global":[130],"strong":[131],"solutions.":[132]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}