{"id":"https://openalex.org/W2737183990","doi":"https://doi.org/10.1137/17m1140261","title":"A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes","display_name":"A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2737183990","doi":"https://doi.org/10.1137/17m1140261","mag":"2737183990"},"language":"en","primary_location":{"id":"doi:10.1137/17m1140261","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1140261","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.07378","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035291643","display_name":"Jason S. Howell","orcid":"https://orcid.org/0000-0003-4696-8482"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jason S. Howell","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078565821","display_name":"Daniel Toundykov","orcid":"https://orcid.org/0000-0001-5880-6435"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Toundykov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038925013","display_name":"Justin T. Webster","orcid":"https://orcid.org/0000-0002-2443-3789"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Justin T. Webster","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1826,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45132077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"50","issue":"2","first_page":"2048","last_page":"2085"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.995199978351593,"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/inertia","display_name":"Inertia","score":0.661666750907898},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.6437618136405945},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6070805191993713},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5829451084136963},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.563198983669281},{"id":"https://openalex.org/keywords/flutter","display_name":"Flutter","score":0.5546730756759644},{"id":"https://openalex.org/keywords/moment-of-inertia","display_name":"Moment of inertia","score":0.5307438373565674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5288670659065247},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5103680491447449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5025160312652588},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4530768096446991},{"id":"https://openalex.org/keywords/cantilever","display_name":"Cantilever","score":0.42059075832366943},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.4189794361591339},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3661084473133087},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3268759250640869},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24480807781219482},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.17155656218528748},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16186341643333435},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.10061907768249512},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08619815111160278}],"concepts":[{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.661666750907898},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.6437618136405945},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6070805191993713},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5829451084136963},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.563198983669281},{"id":"https://openalex.org/C2777834885","wikidata":"https://www.wikidata.org/wiki/Q13417156","display_name":"Flutter","level":3,"score":0.5546730756759644},{"id":"https://openalex.org/C10238366","wikidata":"https://www.wikidata.org/wiki/Q165618","display_name":"Moment of inertia","level":2,"score":0.5307438373565674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5288670659065247},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5103680491447449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5025160312652588},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4530768096446991},{"id":"https://openalex.org/C141354745","wikidata":"https://www.wikidata.org/wiki/Q17227","display_name":"Cantilever","level":2,"score":0.42059075832366943},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.4189794361591339},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3661084473133087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3268759250640869},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24480807781219482},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.17155656218528748},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16186341643333435},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10061907768249512},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08619815111160278},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/17m1140261","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1140261","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"},{"id":"pmh:oai:arXiv.org:1707.07378","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.07378","pdf_url":"https://arxiv.org/pdf/1707.07378","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":"pmh:oai:mdsoar.org:11603/34609","is_oa":true,"landing_page_url":"http://hdl.handle.net/11603/34609","pdf_url":"https://mdsoar.org/bitstreams/09c413b3-afdf-474a-abc4-0b7d2f9acfe7/download","source":{"id":"https://openalex.org/S4306402556","display_name":"Maryland Shared Open Access Repository (USMAI Consortium)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:2737183990","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.07378.pdf","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":"doi:10.48550/arxiv.1707.07378","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.07378","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":"Preprint"},{"id":"doi:10.13016/m2xjas-9nln","is_oa":true,"landing_page_url":"https://doi.org/10.13016/m2xjas-9nln","pdf_url":null,"source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"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-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.07378","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.07378","pdf_url":"https://arxiv.org/pdf/1707.07378","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":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G183680496","display_name":null,"funder_award_id":"DMS-1504697","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3770427000","display_name":null,"funder_award_id":"DMS-1616425","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6077856921","display_name":"Analysis and Control Theory for Moving Boundary and Nonlinear Phenomena in Interactive Partial Differential Equations","funder_award_id":"1616425","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8048388365","display_name":"Analysis and Control of Mathematical Models of Fluttering Plates","funder_award_id":"1504697","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W97416413","https://openalex.org/W301205964","https://openalex.org/W333643410","https://openalex.org/W1544688283","https://openalex.org/W1576331348","https://openalex.org/W1576925881","https://openalex.org/W1794799207","https://openalex.org/W1963739754","https://openalex.org/W1969175151","https://openalex.org/W1973243195","https://openalex.org/W1974404072","https://openalex.org/W1974869016","https://openalex.org/W1975451273","https://openalex.org/W1979477922","https://openalex.org/W1999440997","https://openalex.org/W2005912635","https://openalex.org/W2007052094","https://openalex.org/W2010493466","https://openalex.org/W2011543265","https://openalex.org/W2017909676","https://openalex.org/W2026775078","https://openalex.org/W2029725151","https://openalex.org/W2034980049","https://openalex.org/W2035796424","https://openalex.org/W2049145692","https://openalex.org/W2051251334","https://openalex.org/W2053168208","https://openalex.org/W2069322063","https://openalex.org/W2069678242","https://openalex.org/W2071169556","https://openalex.org/W2072193224","https://openalex.org/W2073078790","https://openalex.org/W2077171412","https://openalex.org/W2085427281","https://openalex.org/W2094832107","https://openalex.org/W2095418434","https://openalex.org/W2100457950","https://openalex.org/W2102621916","https://openalex.org/W2105997678","https://openalex.org/W2106702346","https://openalex.org/W2124736739","https://openalex.org/W2155346563","https://openalex.org/W2157038043","https://openalex.org/W2166374152","https://openalex.org/W2170453196","https://openalex.org/W2276832636","https://openalex.org/W2328263031","https://openalex.org/W2729450229","https://openalex.org/W2785551487","https://openalex.org/W2962962172","https://openalex.org/W2963251970","https://openalex.org/W2963736327","https://openalex.org/W2963814079","https://openalex.org/W4246012909"],"related_works":["https://openalex.org/W2952363092","https://openalex.org/W3101143483","https://openalex.org/W44893036","https://openalex.org/W2290029407","https://openalex.org/W2072485702","https://openalex.org/W3012619114","https://openalex.org/W2285268946","https://openalex.org/W1431001190","https://openalex.org/W2952364947","https://openalex.org/W2053988602","https://openalex.org/W2099460886","https://openalex.org/W1964264865","https://openalex.org/W2944163574","https://openalex.org/W3124121628","https://openalex.org/W2137772895","https://openalex.org/W2004510429","https://openalex.org/W2781792313","https://openalex.org/W2133808375","https://openalex.org/W2065627921","https://openalex.org/W26818876"],"abstract_inverted_index":{"We":[0,80,95],"consider":[1],"a":[2,17,26,38,48,54,65,70,117,143],"cantilevered":[3],"(clamped-free)":[4],"beam":[5,51,83],"in":[6,20],"an":[7],"axial":[8],"potential":[9],"flow.":[10],"Certain":[11],"flow":[12,43],"velocities":[13],"may":[14],"bring":[15],"about":[16],"bounded-response":[18],"instability":[19],"the":[21,31,42,101,104,109,122,130,137,166],"structure,":[22],"termed":[23],"flutter.":[24],"As":[25,58],"preliminary":[27],"analysis,":[28],"we":[29,59,67,115,134,148],"employ":[30],"theory":[32],"of":[33,41,100,124],"large":[34],"deflections":[35],"and":[36,87,152,164],"utilize":[37,116],"piston-theoretic":[39],"approximation":[40],"for":[44,82,161],"appropriate":[45],"parameters,":[46],"yielding":[47],"nonlinear":[49,72,97],"(Berger/Woinowsky-Krieger)":[50],"equation":[52],"with":[53,103,111],"nondissipative":[55],"right-hand":[56],"side.":[57],"obtain":[60],"this":[61,93],"structural":[62],"model":[63,102],"via":[64],"simplification,":[66],"arrive":[68],"at":[69],"nonstandard":[71],"boundary":[73],"condition":[74],"that":[75,91,136],"necessitates":[76],"careful":[77],"well-posedness":[78,99],"analysis.":[79],"account":[81],"rotational":[84,105,113,167],"inertia":[85,106,168],"effects":[86],"discuss":[88],"technical":[89],"issues":[90],"necessitate":[92],"feature.":[94],"demonstrate":[96],"semigroup":[98],"terms.":[107,169],"For":[108,129],"case":[110],"no":[112],"inertia,":[114],"Galerkin":[118],"approach":[119],"to":[120],"establish":[121],"existence":[123],"weak,":[125],"possibly":[126],"nonunique,":[127],"solutions.":[128],"former,":[131],"inertial":[132],"model,":[133],"prove":[135],"associated":[138],"nongradient":[139],"dynamical":[140],"system":[141],"has":[142],"compact":[144],"global":[145],"attractor.":[146],"Finally,":[147],"study":[149],"stability":[150],"regimes":[151],"postflutter":[153],"dynamics":[154],"(nonstationary":[155],"end":[156],"behaviors)":[157],"using":[158],"numerical":[159],"methods":[160],"models":[162],"with,":[163],"without,":[165]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}