{"id":"https://openalex.org/W7140231356","doi":"https://doi.org/10.48550/arxiv.2603.20566","title":"Stability and blow-up for a suspension bridge plate model with fractional damping and memory","display_name":"Stability and blow-up for a suspension bridge plate model with fractional damping and memory","publication_year":2026,"publication_date":"2026-03-20","ids":{"openalex":"https://openalex.org/W7140231356","doi":"https://doi.org/10.48550/arxiv.2603.20566"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.20566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20566","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.20566","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Kanwal, Iqra","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kanwal, Iqra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hao, Jianghao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hao, Jianghao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Aslam, Muhammad Fahim","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aslam, Muhammad Fahim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Hajjej, Zayd","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hajjej, Zayd","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Sep\u00falveda-Cort\u00e9s, Mauricio","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sep\u00falveda-Cort\u00e9s, Mauricio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Vej\u00e1r-Asem, Rodrigo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vej\u00e1r-Asem, Rodrigo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.7423999905586243,"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":0.7423999905586243,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.1143999993801117,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.019999999552965164,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/discretization","display_name":"Discretization","score":0.7293999791145325},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6607999801635742},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6306999921798706},{"id":"https://openalex.org/keywords/suspension","display_name":"Suspension (topology)","score":0.524399995803833},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.5052000284194946},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4334000051021576},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.40549999475479126},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3817000091075897}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7293999791145325},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6607999801635742},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6306999921798706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6057999730110168},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5292999744415283},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.524399995803833},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.5052000284194946},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4334000051021576},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3817000091075897},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.36739999055862427},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.36309999227523804},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.335999995470047},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.29910001158714294},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.27300000190734863},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.2574999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.20566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20566","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.20566","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.20566","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.8702030777931213,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,48],"investigate":[1],"a":[2,8,24,78,95,111],"suspension":[3],"bridge":[4],"model":[5],"described":[6],"by":[7,137],"nonlinear":[9,25],"plate":[10],"equation":[11],"incorporating":[12],"internal":[13],"fractional":[14],"damping":[15],"and":[16,55,110,133],"infinite":[17],"memory":[18],"effects.":[19],"The":[20,117],"system":[21],"also":[22],"includes":[23],"source":[26],"term":[27],"that":[28,70],"may":[29],"induce":[30],"instability.":[31],"Using":[32],"semigroup":[33],"theory,":[34],"we":[35,68,93],"first":[36],"establish":[37],"the":[38,63,82,86,90,120,124,131,138],"local":[39],"well-posedness":[40],"of":[41,58,85,123],"solutions":[42,71],"in":[43,74],"an":[44],"appropriate":[45],"energy":[46,65,126],"space.":[47],"then":[49],"derive":[50],"conditions":[51],"ensuring":[52],"global":[53],"existence":[54],"exponential":[56],"stability":[57,132],"solutions.":[59],"In":[60],"contrast,":[61],"when":[62],"initial":[64],"is":[66],"negative,":[67],"prove":[69],"blow":[72],"up":[73],"finite":[75,100],"time,":[76],"revealing":[77],"threshold":[79],"phenomenon":[80],"governing":[81],"long-term":[83],"dynamics":[84],"system.":[87],"To":[88],"complement":[89],"analytical":[91],"results,":[92],"construct":[94],"numerical":[96],"approximation":[97],"using":[98],"Summation-By-Parts":[99],"differences":[101],"with":[102],"Simultaneous":[103],"Approximation":[104],"Terms":[105],"(SBP-SAT)":[106],"for":[107,114],"spatial":[108],"discretization":[109],"Newmark":[112],"scheme":[113,118],"time":[115],"integration.":[116],"preserves":[119],"structural":[121],"properties":[122],"continuous":[125],"framework.":[127],"Numerical":[128],"experiments":[129],"illustrate":[130],"blow-up":[134],"regimes":[135],"predicted":[136],"theoretical":[139],"analysis.":[140]},"counts_by_year":[],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2026-03-25T00:00:00"}