{"id":"https://openalex.org/W7164527751","doi":"https://doi.org/10.48550/arxiv.2606.12786","title":"Well-posedness and Stability of Thermoelastic Suspension Bridges with Cattaneo Heat Conduction: The Role of Viscoelastic Memory","display_name":"Well-posedness and Stability of Thermoelastic Suspension Bridges with Cattaneo Heat Conduction: The Role of Viscoelastic Memory","publication_year":2026,"publication_date":"2026-06-11","ids":{"openalex":"https://openalex.org/W7164527751","doi":"https://doi.org/10.48550/arxiv.2606.12786"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2606.12786","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.12786","pdf_url":"https://arxiv.org/pdf/2606.12786","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2606.12786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138493413","display_name":"Jun Zhou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhou, Jun","raw_affiliation_strings":["School of Mathematics and Statistics , Southwest University , Chongqing 400715 , People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Southwest University , Chongqing 400715 , People's Republic of China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5130717343","display_name":"Jiamin He","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He, Jiamin","raw_affiliation_strings":["School of Mathematics and Statistics , Southwest University , Chongqing 400715 , People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Southwest University , Chongqing 400715 , People's Republic of China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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":0.9868000149726868,"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":0.9868000149726868,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.011500000022351742,"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"}},{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/cattaneo-heat-conduction","display_name":"Cattaneo heat conduction","score":0.9940000176429749},{"id":"https://openalex.org/keywords/well-posedness","display_name":"well-posedness","score":0.9620000123977661},{"id":"https://openalex.org/keywords/stability","display_name":"stability","score":0.5099999904632568},{"id":"https://openalex.org/keywords/polynomial-decay","display_name":"polynomial decay","score":0.6340000033378601},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"exponential stability","score":0.8820000290870667},{"id":"https://openalex.org/keywords/operator-semigroups","display_name":"operator semigroups","score":0.7200000286102295},{"id":"https://openalex.org/keywords/thermomechanical-coupling","display_name":"thermo-mechanical coupling","score":0.8019999861717224},{"id":"https://openalex.org/keywords/relaxation-time","display_name":"relaxation time","score":0.652999997138977},{"id":"https://openalex.org/keywords/long-span-bridges","display_name":"long-span bridges","score":0.7139999866485596},{"id":"https://openalex.org/keywords/bridge-deck-design","display_name":"bridge deck design","score":0.5429999828338623}],"concepts":[{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.8413000106811523},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.5985000133514404},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5529000163078308},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5105999708175659},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4722000062465668},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.42559999227523804},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40720000863075256},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.390500009059906},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3797000050544739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3734000027179718},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3573000133037567},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.35100001096725464},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3312000036239624},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28610000014305115},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2831999957561493},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.28139999508857727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27559998631477356},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.2680000066757202},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.25600001215934753},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2606.12786","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.12786","pdf_url":"https://arxiv.org/pdf/2606.12786","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2606.12786","doi":"https://doi.org/10.48550/arxiv.2606.12786","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.12786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2606.12786","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2606.12786","pdf_url":"https://arxiv.org/pdf/2606.12786","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7164527751.pdf","grobid_xml":"https://content.openalex.org/works/W7164527751.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7162286330","https://openalex.org/W7203499922","https://openalex.org/W7150954095","https://openalex.org/W4409191603","https://openalex.org/W4394840976","https://openalex.org/W7124428518","https://openalex.org/W2549207977","https://openalex.org/W4289716875","https://openalex.org/W3041202610","https://openalex.org/W7215107190"],"abstract_inverted_index":{"Thermoelastic":[0],"suspension":[1,33],"bridges":[2,186],"operate":[3],"under":[4],"strong":[5],"thermo-mechanical":[6],"coupling,":[7],"and":[8,51,71,103,123,129,169,187],"the":[9,16,38,44,54,80,87,96,105,143,150,171],"classical":[10],"Fourier":[11],"law":[12,46],"fails":[13,114],"to":[14,108],"capture":[15],"finite":[17],"speed":[18],"of":[19,149,159],"thermal":[20],"propagation":[21],"observed":[22],"in":[23,36,52,184,192],"low-conductivity":[24],"materials":[25],"such":[26],"as":[27],"concrete.":[28],"This":[29,154],"paper":[30],"investigates":[31],"a":[32,156,177],"bridge":[34,55],"model":[35],"which":[37,53],"heat":[39],"flux":[40],"is":[41,89,140],"governed":[42],"by":[43],"Cattaneo":[45],"with":[47,92],"relaxation":[48],"time":[49],"$\u03c4$,":[50],"deck":[56,190],"may":[57,59],"or":[58,119],"not":[60],"possess":[61],"viscoelastic":[62,138,160],"memory.":[63],"Using":[64],"operator":[65],"semigroup":[66,88,144],"theory,":[67],"we":[68,84],"establish":[69],"well-posedness":[70],"derive":[72],"sharp":[73,135],"decay":[74,165,168],"rates":[75],"for":[76,180,188],"both":[77],"regimes.":[78],"For":[79],"memoryless":[81,193],"system":[82],"($\u03b4=0$),":[83],"show":[85],"that":[86,104],"polynomially":[90],"stable":[91],"rate":[93,106],"$t^{-1/2}$":[94],"when":[95,137],"structural":[97,151],"parameters":[98,191],"satisfy":[99],"$\\frac{\u03c1_1}\u03ba":[100],"=":[101,121,125],"\\frac{\u03c1_2}{b}$,":[102],"deteriorates":[107],"$t^{-1/4}$":[109],"otherwise;":[110],"moreover,":[111],"exponential":[112,167],"stability":[113],"whenever":[115],"$\u03c7_0":[116,120],"\\neq":[117],"0$,":[118,126],"0$":[122],"$\u03c7_1":[124],"where":[127],"$\u03c7_0$":[128],"$\u03c7_1$":[130],"are":[131],"parameter-dependent":[132],"coefficients.":[133],"In":[134],"contrast,":[136],"memory":[139],"present":[141],"($\u03b4=1$),":[142],"becomes":[145],"exponentially":[146],"stable,":[147],"regardless":[148],"parameter":[152],"ratio.":[153],"reveals":[155],"regularizing":[157],"role":[158],"memory:":[161],"it":[162],"converts":[163],"polynomial":[164],"into":[166],"removes":[170],"parameter-ratio":[172],"obstruction.":[173],"The":[174],"results":[175],"provide":[176],"theoretical":[178],"basis":[179],"exploiting":[181],"inherent":[182],"viscoelasticity":[183],"long-span":[185],"optimizing":[189],"structures.":[194]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-06-13T00:00:00"}
