{"id":"https://openalex.org/W4396806089","doi":"https://doi.org/10.1137/23m1548475","title":"Linear Quadratic Regulation Control for Falling Liquid Films","display_name":"Linear Quadratic Regulation Control for Falling Liquid Films","publication_year":2024,"publication_date":"2024-05-10","ids":{"openalex":"https://openalex.org/W4396806089","doi":"https://doi.org/10.1137/23m1548475"},"language":"en","primary_location":{"id":"doi:10.1137/23m1548475","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1548475","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/23m1548475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064033662","display_name":"Oscar A. Holroyd","orcid":"https://orcid.org/0000-0003-0328-6828"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Oscar A. Holroyd","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK"],"raw_orcid":"https://orcid.org/0000-0003-0328-6828","affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027195949","display_name":"Radu Cimpeanu","orcid":"https://orcid.org/0000-0002-7934-7909"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Radu Cimpeanu","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK"],"raw_orcid":"https://orcid.org/0000-0002-7934-7909","affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003355867","display_name":"Susana N. Gomes","orcid":"https://orcid.org/0000-0002-8731-367X"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Susana N. Gomes","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK"],"raw_orcid":"https://orcid.org/0000-0002-8731-367X","affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064033662"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":1.4224,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77027368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"84","issue":"3","first_page":"940","last_page":"960"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9944000244140625,"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/falling","display_name":"Falling (accident)","score":0.7958172559738159},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6131395101547241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42706137895584106},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4064079821109772},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.39215633273124695},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3436516523361206},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.32621467113494873},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2928316593170166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24163076281547546},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.118488609790802},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.06886523962020874}],"concepts":[{"id":"https://openalex.org/C2779079380","wikidata":"https://www.wikidata.org/wiki/Q333495","display_name":"Falling (accident)","level":2,"score":0.7958172559738159},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6131395101547241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42706137895584106},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4064079821109772},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.39215633273124695},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3436516523361206},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.32621467113494873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2928316593170166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24163076281547546},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.118488609790802},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.06886523962020874},{"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/C118552586","wikidata":"https://www.wikidata.org/wiki/Q7867","display_name":"Psychiatry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1548475","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1548475","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:183361","is_oa":true,"landing_page_url":null,"pdf_url":"https://wrap.warwick.ac.uk/id/eprint/183361/1/WRAP-linear-quadratic-regulation-control-falling-liquid-films-2024.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1137/23m1548475","is_oa":true,"landing_page_url":"https://doi.org/10.1137/23m1548475","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3985384870","display_name":"EPSRC Centre for Doctoral Training in Modelling of Heterogeneous Systems","funder_award_id":"EP/S022848/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6832212713","display_name":null,"funder_award_id":"EP/V051385/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8837120674","display_name":"A new hierarchical modelling framework for active control: making waves in interfacial flow-based technologies","funder_award_id":"EP/V051385/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320279","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W100484353","https://openalex.org/W1499788862","https://openalex.org/W1503652556","https://openalex.org/W1727151331","https://openalex.org/W1856147739","https://openalex.org/W1975943852","https://openalex.org/W1976098013","https://openalex.org/W1977532666","https://openalex.org/W1977589677","https://openalex.org/W1989641573","https://openalex.org/W1993112944","https://openalex.org/W1995084546","https://openalex.org/W1995607097","https://openalex.org/W1998760784","https://openalex.org/W2012822357","https://openalex.org/W2023201442","https://openalex.org/W2023375424","https://openalex.org/W2023975424","https://openalex.org/W2042795334","https://openalex.org/W2047908429","https://openalex.org/W2048902509","https://openalex.org/W2055617900","https://openalex.org/W2060943777","https://openalex.org/W2066747651","https://openalex.org/W2072792819","https://openalex.org/W2073130283","https://openalex.org/W2081519565","https://openalex.org/W2083114242","https://openalex.org/W2086600007","https://openalex.org/W2087865961","https://openalex.org/W2088712003","https://openalex.org/W2107634631","https://openalex.org/W2113658878","https://openalex.org/W2131868609","https://openalex.org/W2134855478","https://openalex.org/W2147980415","https://openalex.org/W2152694125","https://openalex.org/W2161367843","https://openalex.org/W2163334725","https://openalex.org/W2163786768","https://openalex.org/W2164464516","https://openalex.org/W2190422417","https://openalex.org/W2203092910","https://openalex.org/W2317628669","https://openalex.org/W2331207410","https://openalex.org/W2336594740","https://openalex.org/W2343568200","https://openalex.org/W2600105879","https://openalex.org/W2782488084","https://openalex.org/W2911158635","https://openalex.org/W2912738426","https://openalex.org/W2962981640","https://openalex.org/W2994911008","https://openalex.org/W3000249430","https://openalex.org/W3037086429","https://openalex.org/W3099867789","https://openalex.org/W3100366510","https://openalex.org/W3132487714","https://openalex.org/W3137590181","https://openalex.org/W4213153870","https://openalex.org/W4310239169","https://openalex.org/W4312219410","https://openalex.org/W4386523324"],"related_works":["https://openalex.org/W2746852369","https://openalex.org/W2024194626","https://openalex.org/W4386475327","https://openalex.org/W2386158341","https://openalex.org/W2374649224","https://openalex.org/W1976940922","https://openalex.org/W2332777286","https://openalex.org/W4389557210","https://openalex.org/W2389533097","https://openalex.org/W2357343611"],"abstract_inverted_index":{"We":[0],"propose":[1],"and":[2,19,88,118,146,155,230],"analyse":[3],"a":[4,33,58,89,102,116,179],"new":[5],"methodology":[6,218],"based":[7],"on":[8],"linear-quadratic":[9],"regulation":[10],"(LQR)":[11],"for":[12,40,115],"stabilising":[13],"falling":[14],"liquid":[15,60],"films":[16],"via":[17,97,141],"blowing":[18],"suction":[20],"at":[21],"the":[22,50,55,85,124,132,161,164,191,197,220],"base.":[23],"LQR":[24,111],"methods":[25],"enable":[26],"rapidly":[27],"responding":[28],"feedback":[29,112],"control":[30,104,113,137,225],"by":[31],"precomputing":[32],"gain":[34],"matrix,":[35],"but":[36],"are":[37,67,203],"only":[38],"suitable":[39],"systems":[41],"of":[42,57,109,121,151,187,214,222,237],"linear":[43,152],"ordinary":[44],"differential":[45],"equations":[46,52],"(ODEs).":[47],"By":[48],"contrast,":[49],"Navier-Stokes":[51,134],"that":[53,170],"describe":[54],"dynamics":[56],"thin":[59],"film":[61,182],"flowing":[62],"down":[63],"an":[64,110],"inclined":[65],"plane":[66],"too":[68],"complex":[69],"to":[70,100,131,148,206,234],"stabilise":[71,177],"with":[72,190],"standard":[73],"control-theoretical":[74],"techniques.":[75],"To":[76],"bridge":[77],"this":[78],"gap":[79],"we":[80,168,174],"use":[81],"reduced-order":[82,125,166],"models":[83,167],"\u2013":[84,95],"Benney":[86],"equation":[87],"weighted-residual":[90,194,201],"integral":[91],"boundary":[92],"layer":[93],"model":[94,195],"obtained":[96],"asymptotic":[98],"analysis":[99],"derive":[101],"multi-level":[103],"framework.":[105],"This":[106],"framework":[107],"consists":[108],"designed":[114],"linearised":[117],"discretised":[119],"system":[120],"ODEs":[122],"approximating":[123],"system,":[126],"which":[127],"is":[128,139,231],"then":[129],"applied":[130],"full":[133],"system.":[135],"The":[136,200,216],"scheme":[138],"tested":[140],"direct":[142],"numerical":[143],"simulation":[144],"(DNS),":[145],"compared":[147],"analytical":[149],"predictions":[150],"stability":[153],"thresholds":[154],"minimum":[156],"required":[157],"actuator":[158],"numbers.":[159],"Comparing":[160],"strategy":[162],"between":[163],"two":[165],"show":[169],"in":[171],"both":[172],"cases":[173],"can":[175],"successfully":[176,208],"towards":[178,227],"uniform":[180],"flat":[181],"across":[183],"their":[184,211],"respective":[185],"ranges":[186],"valid":[188],"parameters,":[189],"more":[192],"accurate":[193],"outperforming":[196],"Benney-derived":[198],"controls.":[199],"controls":[202],"also":[204,232],"found":[205],"work":[207],"far":[209],"beyond":[210],"anticipated":[212],"range":[213],"applicability.":[215],"proposed":[217],"increases":[219],"feasibility":[221],"transferring":[223],"robust":[224],"techniques":[226],"real-world":[228],"systems,":[229],"generalisable":[233],"other":[235],"forms":[236],"actuation.":[238]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}