{"id":"https://openalex.org/W7123355145","doi":"https://doi.org/10.1109/cdc57313.2025.11312950","title":"Frequency responses of the Navier-Stokes equations: a weakly nonlinear perturbation analysis","display_name":"Frequency responses of the Navier-Stokes equations: a weakly nonlinear perturbation analysis","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123355145","doi":"https://doi.org/10.1109/cdc57313.2025.11312950"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5122846357","display_name":"Du\u0161an Bo\u017ei\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Du\u0161an Bo\u017ei\u0107","raw_affiliation_strings":["University of Southern California,Ming Hsieh Department of Electrical and Computer Engineering,Los Angeles,CA,90089"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern California,Ming Hsieh Department of Electrical and Computer Engineering,Los Angeles,CA,90089","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087709128","display_name":"Anubhav Dwivedi","orcid":"https://orcid.org/0000-0002-2397-2537"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anubhav Dwivedi","raw_affiliation_strings":["University of Minnesota,Department of Aerospace Engineering and Mechanics,Minneapolis,MN,USA,55455"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minnesota,Department of Aerospace Engineering and Mechanics,Minneapolis,MN,USA,55455","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087790067","display_name":"Mihailo R. Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4181-2924"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihailo R. Jovanovi\u0107","raw_affiliation_strings":["University of Southern California,Ming Hsieh Department of Electrical and Computer Engineering,Los Angeles,CA,90089"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern California,Ming Hsieh Department of Electrical and Computer Engineering,Los Angeles,CA,90089","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64162754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2036","last_page":"2041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.4372999966144562,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.4372999966144562,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.3450999855995178,"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/T11170","display_name":"Biomimetic flight and propulsion mechanisms","score":0.03099999949336052,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/perturbation","display_name":"Perturbation (astronomy)","score":0.6104999780654907},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.5769000053405762},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5425999760627747},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5257999897003174},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49729999899864197},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4821999967098236},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.44940000772476196},{"id":"https://openalex.org/keywords/laminar-flow","display_name":"Laminar flow","score":0.4334000051021576},{"id":"https://openalex.org/keywords/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.4302000105381012},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.37229999899864197}],"concepts":[{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6104999780654907},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.5769000053405762},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5425999760627747},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5257999897003174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5235000252723694},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49729999899864197},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4821999967098236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4690999984741211},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.44940000772476196},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44279998540878296},{"id":"https://openalex.org/C76563973","wikidata":"https://www.wikidata.org/wiki/Q189452","display_name":"Laminar flow","level":2,"score":0.4334000051021576},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.4302000105381012},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.37229999899864197},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3603000044822693},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.3278000056743622},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3273000121116638},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2851000130176544},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.2833000123500824},{"id":"https://openalex.org/C2777152854","wikidata":"https://www.wikidata.org/wiki/Q7306329","display_name":"Reduced frequency","level":4,"score":0.28130000829696655},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.2809000015258789},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27320000529289246},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.26460000872612},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2549000084400177}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312950","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312950","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,20,82],"utilize":[1],"a":[2,61,85],"perturbation":[3],"analysis":[4],"to":[5,14,37,44,51],"characterize":[6],"responses":[7],"of":[8,25,42,57,69,89,102,130,136],"the":[9,39,54,58,70,78,90,96,100,116,127],"incompressible":[10],"Navier-Stokes":[11],"(NS)":[12],"equations":[13],"small-amplitude":[15],"unsteady":[16,26],"3D":[17],"harmonic":[18],"disturbances.":[19],"demonstrate":[21,83],"how":[22],"quadratic":[23],"interactions":[24],"oblique":[27],"disturbance":[28],"induce":[29],"steady":[30],"streamwise":[31],"streaks":[32,59],"that":[33,65,84],"are":[34],"widely":[35],"considered":[36],"trigger":[38],"early":[40],"stages":[41],"transition":[43],"turbulence.":[45],"The":[46,105],"proposed":[47],"framework":[48,132],"allows":[49],"us":[50],"reliably":[52],"reproduce":[53],"spatial":[55],"structure":[56],"via":[60],"reduced-order":[62],"dynamical":[63],"representation":[64],"utilizes":[66],"input-output":[67],"modes":[68],"frequency":[71,91],"response":[72,92,98],"operator":[73,93],"associated":[74],"with":[75],"linearization":[76],"around":[77],"laminar":[79],"base":[80],"flow.":[81],"specific":[86],"suboptimal":[87],"mode":[88],"robustly":[94],"captures":[95],"resulting":[97,108],"across":[99],"range":[101],"Reynolds":[103],"numbers.":[104],"low-dimensional":[106],"model":[107],"from":[109,115],"our":[110,131],"approach":[111],"is":[112],"almost":[113],"indistinguishable":[114],"ones":[117],"derived":[118],"using":[119],"computationally":[120],"expensive":[121],"non-convex":[122],"optimization":[123],"methods,":[124],"thereby":[125],"demonstrating":[126],"predictive":[128],"power":[129],"for":[133],"control-oriented":[134],"modeling":[135],"transition.":[137]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-01-14T00:00:00"}