{"id":"https://openalex.org/W2889161408","doi":"https://doi.org/10.1137/18m1209891","title":"A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem","display_name":"A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2889161408","doi":"https://doi.org/10.1137/18m1209891","mag":"2889161408"},"language":"en","primary_location":{"id":"doi:10.1137/18m1209891","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1209891","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.09294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018292728","display_name":"Francisco Guill\u00e9n\u2010Gonz\u00e1lez","orcid":"https://orcid.org/0000-0001-5539-5888"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Francisco Guillen-Gonzalez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071792510","display_name":"Exequiel Mallea-Zepeda","orcid":"https://orcid.org/0000-0002-7726-2362"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Exequiel Mallea-Zepeda","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046829965","display_name":"Mar\u00eda \u00c1ngeles Rodr\u00edguez\u2010Bellido","orcid":"https://orcid.org/0000-0002-4561-6437"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maria Angeles Rodriguez-Bellido","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018292728"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0701,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.42802164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"58","issue":"3","first_page":"1457","last_page":"1490"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9990000128746033,"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":0.9990000128746033,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9832000136375427,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9646999835968018,"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/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.8256758451461792},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.703574538230896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.625143826007843},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5614550113677979},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5262764096260071},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5028967261314392},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4541477859020233},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4515232443809509},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3622916340827942},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2629270553588867},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0907721221446991}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.8256758451461792},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.703574538230896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.625143826007843},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5614550113677979},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5262764096260071},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5028967261314392},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4541477859020233},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4515232443809509},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3622916340827942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2629270553588867},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0907721221446991},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1209891","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1209891","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"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 Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.09294","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.09294","pdf_url":"https://arxiv.org/pdf/1808.09294","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2889161408","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1808.09294","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:idus.us.es:11441/138419","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/138419","pdf_url":null,"source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1808.09294","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1808.09294","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":"pmh:oai:arXiv.org:1808.09294","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.09294","pdf_url":"https://arxiv.org/pdf/1808.09294","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310967","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320324327","display_name":"Universidad de Tarapac\u00e1","ror":"https://ror.org/04xe01d27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2889161408.pdf","grobid_xml":"https://content.openalex.org/works/W2889161408.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1068426285","https://openalex.org/W1545761024","https://openalex.org/W1586623601","https://openalex.org/W1589236075","https://openalex.org/W1604809219","https://openalex.org/W1969573455","https://openalex.org/W2003199837","https://openalex.org/W2042892258","https://openalex.org/W2055670876","https://openalex.org/W2061045704","https://openalex.org/W2062143037","https://openalex.org/W2073078790","https://openalex.org/W2074190491","https://openalex.org/W2076582418","https://openalex.org/W2086629484","https://openalex.org/W2129060539","https://openalex.org/W2134762099","https://openalex.org/W2253021076","https://openalex.org/W2294914995","https://openalex.org/W2314543901","https://openalex.org/W2325189417","https://openalex.org/W2339358858","https://openalex.org/W2363078554","https://openalex.org/W2510203419","https://openalex.org/W2561558725","https://openalex.org/W2587937275","https://openalex.org/W2625604071","https://openalex.org/W2755185705","https://openalex.org/W2768686860","https://openalex.org/W2963769250","https://openalex.org/W3105273730"],"related_works":["https://openalex.org/W2043066177","https://openalex.org/W2462620238","https://openalex.org/W2914939113","https://openalex.org/W3101117046","https://openalex.org/W2003036809","https://openalex.org/W3038905004","https://openalex.org/W2066281568","https://openalex.org/W2809101936","https://openalex.org/W2077042296","https://openalex.org/W16721839","https://openalex.org/W2972203322","https://openalex.org/W2042129224","https://openalex.org/W2601999240","https://openalex.org/W2145108405","https://openalex.org/W2020724496","https://openalex.org/W2562630930","https://openalex.org/W52567430","https://openalex.org/W2057702307","https://openalex.org/W3085259256","https://openalex.org/W2807971012"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,10,27,38,43,54],"bilinear":[4,48],"optimal":[5,45,63],"control":[6,49],"problem":[7],"associated":[8],"to":[9,30],"3D":[11],"chemo-repulsion":[12],"model":[13],"with":[14,47],"linear":[15],"production":[16],"is":[17,24,35,50],"studied.":[18],"The":[19],"existence":[20,41],"of":[21,42],"weak":[22],"solutions":[23,34,64],"proved,":[25],"and":[26,52],"regularity":[28],"criterion":[29],"get":[31],"global-in-time":[32],"strong":[33],"established.":[36],"As":[37],"consequence,":[39],"the":[40],"global":[44],"solution":[46],"deduced,":[51],"using":[53],"Lagrange":[55],"multiplier":[56],"theorem,":[57],"first-order":[58],"optimality":[59],"conditions":[60],"for":[61],"local":[62],"are":[65],"derived.":[66]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}