{"id":"https://openalex.org/W3088915544","doi":"https://doi.org/10.1137/19m1298998","title":"Stationary Ring and Concentric-Ring Solutions of the Keller--Segel Model with Quadratic Diffusion","display_name":"Stationary Ring and Concentric-Ring Solutions of the Keller--Segel Model with Quadratic Diffusion","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3088915544","doi":"https://doi.org/10.1137/19m1298998","mag":"3088915544"},"language":"en","primary_location":{"id":"doi:10.1137/19m1298998","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1298998","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5007536250","display_name":"Lin Chen","orcid":"https://orcid.org/0000-0002-2605-749X"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lin Chen","raw_affiliation_strings":["Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053612607","display_name":"Fanze Kong","orcid":"https://orcid.org/0000-0002-0873-5269"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fanze Kong","raw_affiliation_strings":["Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100644737","display_name":"Qi Wang","orcid":"https://orcid.org/0000-0003-2612-8224"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wang","raw_affiliation_strings":["Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130, China;","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007536250"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":null,"apc_paid":null,"fwci":0.07,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.45473433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"52","issue":"5","first_page":"4565","last_page":"4615"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.983299970626831,"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/mathematics","display_name":"Mathematics","score":0.6949694156646729},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6945523619651794},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6552242040634155},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.6475871205329895},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.61464524269104},{"id":"https://openalex.org/keywords/concentric","display_name":"Concentric","score":0.4322258234024048},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39119991660118103},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3226989805698395},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24345847964286804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18288055062294006},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10037803649902344},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.06665784120559692}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6949694156646729},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6945523619651794},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6552242040634155},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.6475871205329895},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.61464524269104},{"id":"https://openalex.org/C90296322","wikidata":"https://www.wikidata.org/wiki/Q619776","display_name":"Concentric","level":2,"score":0.4322258234024048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39119991660118103},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3226989805698395},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24345847964286804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18288055062294006},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10037803649902344},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.06665784120559692},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1298998","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1298998","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G2376276132","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4890959138","display_name":null,"funder_award_id":"JBK2002002","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7894735467","display_name":null,"funder_award_id":"JBK1805001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W1496600683","https://openalex.org/W1505542423","https://openalex.org/W1966741461","https://openalex.org/W1968835931","https://openalex.org/W1977056668","https://openalex.org/W1978158875","https://openalex.org/W1978941072","https://openalex.org/W1980812171","https://openalex.org/W1981384745","https://openalex.org/W1987347396","https://openalex.org/W1994880182","https://openalex.org/W1996371104","https://openalex.org/W1998312585","https://openalex.org/W2001629516","https://openalex.org/W2002608500","https://openalex.org/W2012405657","https://openalex.org/W2019287826","https://openalex.org/W2019816716","https://openalex.org/W2020870487","https://openalex.org/W2021117151","https://openalex.org/W2021175251","https://openalex.org/W2031088533","https://openalex.org/W2033434621","https://openalex.org/W2034145387","https://openalex.org/W2035608633","https://openalex.org/W2035611675","https://openalex.org/W2040380154","https://openalex.org/W2042851446","https://openalex.org/W2042892258","https://openalex.org/W2047345239","https://openalex.org/W2052946502","https://openalex.org/W2055569326","https://openalex.org/W2058681208","https://openalex.org/W2060355070","https://openalex.org/W2060469872","https://openalex.org/W2062302699","https://openalex.org/W2064522497","https://openalex.org/W2071048859","https://openalex.org/W2071925467","https://openalex.org/W2075018793","https://openalex.org/W2085123496","https://openalex.org/W2089820887","https://openalex.org/W2089854044","https://openalex.org/W2092696532","https://openalex.org/W2093957401","https://openalex.org/W2094262465","https://openalex.org/W2099613614","https://openalex.org/W2121679360","https://openalex.org/W2126564632","https://openalex.org/W2135502331","https://openalex.org/W2138711501","https://openalex.org/W2155385278","https://openalex.org/W2288245807","https://openalex.org/W2301646350","https://openalex.org/W2528200463","https://openalex.org/W2559677421","https://openalex.org/W2763666984","https://openalex.org/W2805960894","https://openalex.org/W2891212602","https://openalex.org/W2896220486","https://openalex.org/W2962935401","https://openalex.org/W2962987666","https://openalex.org/W2963320585","https://openalex.org/W2963599278","https://openalex.org/W2963880382","https://openalex.org/W2964075649","https://openalex.org/W2964296331","https://openalex.org/W2999185166","https://openalex.org/W3103872194","https://openalex.org/W3104838132","https://openalex.org/W3105428629","https://openalex.org/W4213004309"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2032745795","https://openalex.org/W4241659117","https://openalex.org/W2042569643","https://openalex.org/W4252230788","https://openalex.org/W4235256213","https://openalex.org/W2254998354","https://openalex.org/W2061842045","https://openalex.org/W1535456929","https://openalex.org/W2186444269"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"12":[17],"November":[18],"2019Accepted:":[19],"04":[20],"June":[21],"2020Published":[22],"online:":[23],"28":[24],"September":[25],"2020KeywordsKeller--Segel,":[26],"quadratic":[27],"diffusion,":[28],"ring":[29],"solution,":[30],"airy":[31],"patternAMS":[32],"Subject":[33],"Headings35A01,":[34],"35B40,":[35],"35K57,":[36],"35Q92,":[37],"92C17Publication":[38],"DataISSN":[39],"(print):":[40],"0036-1410ISSN":[41],"(online):":[42],"1095-7154Publisher:":[43],"Society":[44],"for":[45],"Industrial":[46],"and":[47],"Applied":[48],"MathematicsCODEN:":[49],"sjmaah":[50]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
