{"id":"https://openalex.org/W1989161650","doi":"https://doi.org/10.1137/s0036139996297924","title":"Singularities in Hele--Shaw Flows","display_name":"Singularities in Hele--Shaw Flows","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W1989161650","doi":"https://doi.org/10.1137/s0036139996297924","mag":"1989161650"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139996297924","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996297924","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100868698","display_name":"Fei Ran Tian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fei Ran Tian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5076311980","display_name":"Qing Nie","orcid":"https://orcid.org/0000-0002-8804-3368"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qing Nie","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8871,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.8522821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"58","issue":"1","first_page":"34","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9994999766349792,"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":0.9994999766349792,"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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.996399998664856,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9940999746322632,"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/gravitational-singularity","display_name":"Gravitational singularity","score":0.8825076818466187},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6762447953224182},{"id":"https://openalex.org/keywords/hele-shaw-flow","display_name":"Hele-Shaw flow","score":0.675466775894165},{"id":"https://openalex.org/keywords/sink","display_name":"Sink (geography)","score":0.6660268306732178},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.49373897910118103},{"id":"https://openalex.org/keywords/surface-tension","display_name":"Surface tension","score":0.48956426978111267},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.42248696088790894},{"id":"https://openalex.org/keywords/viscous-fingering","display_name":"Viscous fingering","score":0.4143308401107788},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37551528215408325},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3279440402984619},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3175033628940582},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25174829363822937},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.2398991584777832},{"id":"https://openalex.org/keywords/open-channel-flow","display_name":"Open-channel flow","score":0.1396481692790985},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.12161305546760559},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08181807398796082},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.0639207661151886}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.8825076818466187},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6762447953224182},{"id":"https://openalex.org/C45502583","wikidata":"https://www.wikidata.org/wiki/Q5701708","display_name":"Hele-Shaw flow","level":4,"score":0.675466775894165},{"id":"https://openalex.org/C143050476","wikidata":"https://www.wikidata.org/wiki/Q194502","display_name":"Sink (geography)","level":2,"score":0.6660268306732178},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.49373897910118103},{"id":"https://openalex.org/C8892853","wikidata":"https://www.wikidata.org/wiki/Q170749","display_name":"Surface tension","level":2,"score":0.48956426978111267},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42248696088790894},{"id":"https://openalex.org/C2778737968","wikidata":"https://www.wikidata.org/wiki/Q3027832","display_name":"Viscous fingering","level":4,"score":0.4143308401107788},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37551528215408325},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3279440402984619},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3175033628940582},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25174829363822937},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.2398991584777832},{"id":"https://openalex.org/C180925781","wikidata":"https://www.wikidata.org/wiki/Q514096","display_name":"Open-channel flow","level":3,"score":0.1396481692790985},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12161305546760559},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08181807398796082},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.0639207661151886},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036139996297924","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139996297924","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W119840557","https://openalex.org/W1540935623","https://openalex.org/W1576673318","https://openalex.org/W1675313374","https://openalex.org/W1680579736","https://openalex.org/W1912930600","https://openalex.org/W1981789388","https://openalex.org/W1992962809","https://openalex.org/W2031585782","https://openalex.org/W2032396074","https://openalex.org/W2036667275","https://openalex.org/W2041170998","https://openalex.org/W2044828266","https://openalex.org/W2059532959","https://openalex.org/W2062797762","https://openalex.org/W2079083700","https://openalex.org/W2131027609","https://openalex.org/W2140153041","https://openalex.org/W2151838369","https://openalex.org/W2596779211"],"related_works":["https://openalex.org/W2726339783","https://openalex.org/W2095039895","https://openalex.org/W2022135995","https://openalex.org/W1668363177","https://openalex.org/W4302011306","https://openalex.org/W2022448890","https://openalex.org/W2963052782","https://openalex.org/W1966148554","https://openalex.org/W2039699594","https://openalex.org/W2148110192"],"abstract_inverted_index":{"We":[0],"study,":[1],"analytically":[2],"and":[3,14],"numerically,":[4],"singularities":[5,42],"in":[6,17,30],"an":[7],"interface":[8,45,66],"flow":[9],"driven":[10],"by":[11],"surface":[12],"tension":[13],"a":[15,18],"sink":[16,48],"two-dimensional":[19],"Hele--Shaw":[20,39],"cell.":[21],"Our":[22,33],"analysis":[23],"proves":[24],"that":[25,37,67],"singularity":[26],"formation":[27],"is":[28,53,58],"inevitable":[29],"generic":[31],"situations.":[32],"numerical":[34],"simulations":[35],"suggest":[36],"the":[38,44,47,51,62,65,69],"solution":[40],"develops":[41],"via":[43],"reaching":[46],"before":[49],"all":[50],"fluid":[52],"sucked":[54],"out.":[55],"A":[56],"corner":[57],"formed":[59],"right":[60],"at":[61],"tip":[63],"of":[64],"touches":[68],"sink.":[70]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}