{"id":"https://openalex.org/W3215019754","doi":"https://doi.org/10.1155/2021/6820219","title":"Blow\u2010Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term","display_name":"Blow\u2010Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3215019754","doi":"https://doi.org/10.1155/2021/6820219","mag":"3215019754"},"language":"en","primary_location":{"id":"doi:10.1155/2021/6820219","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6820219","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6820219.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2021/6820219.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071351787","display_name":"Salah Boulaaras","orcid":"https://orcid.org/0000-0003-1308-2159"},"institutions":[{"id":"https://openalex.org/I137407579","display_name":"Universit\u00e9 Oran 1 Ahmed Ben Bella","ror":"https://ror.org/059et2b68","country_code":"DZ","type":"education","lineage":["https://openalex.org/I137407579"]},{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["DZ","SA"],"is_corresponding":true,"raw_author_name":"Salah Mahmoud Boulaaras","raw_affiliation_strings":["Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah","Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran 31000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah","institution_ids":["https://openalex.org/I156216236"]},{"raw_affiliation_string":"Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran 31000","institution_ids":["https://openalex.org/I137407579"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005554583","display_name":"Abdelbaki Choucha","orcid":"https://orcid.org/0000-0002-0969-8519"},"institutions":[{"id":"https://openalex.org/I4210107917","display_name":"Exact Sciences (United States)","ror":"https://ror.org/01kc31v38","country_code":"US","type":"company","lineage":["https://openalex.org/I4210107917"]},{"id":"https://openalex.org/I4210157185","display_name":"University of Eloued","ror":"https://ror.org/05416s909","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210157185"]}],"countries":["DZ","US"],"is_corresponding":false,"raw_author_name":"Abdelbaki Choucha","raw_affiliation_strings":["Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, Algeria","Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, Algeria","institution_ids":["https://openalex.org/I4210157185"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued","institution_ids":["https://openalex.org/I4210157185","https://openalex.org/I4210107917"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115600207","display_name":"Mohamed Abdalla","orcid":"https://orcid.org/0000-0003-4686-2143"},"institutions":[{"id":"https://openalex.org/I189575948","display_name":"South Valley University","ror":"https://ror.org/00jxshx33","country_code":"EG","type":"education","lineage":["https://openalex.org/I189575948"]},{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Mohamed Abdalla","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia","Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt","Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471","Mathematics Department, Faculty of Science, South Valley University, Qena 83523"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt","institution_ids":["https://openalex.org/I189575948"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science, South Valley University, Qena 83523","institution_ids":["https://openalex.org/I189575948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057487605","display_name":"Karthikeyan Rajagopal","orcid":"https://orcid.org/0000-0003-2993-7182"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karthikeyan Rajagopal","raw_affiliation_strings":["Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamil Nadu 600069, India","Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamil Nadu 600069"],"affiliations":[{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamil Nadu 600069, India","institution_ids":[]},{"raw_affiliation_string":"Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamil Nadu 600069","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088981953","display_name":"Sahar Ahmed Idris","orcid":"https://orcid.org/0000-0002-4282-4679"},"institutions":[{"id":"https://openalex.org/I192929712","display_name":"University of Juba","ror":"https://ror.org/02f1kft51","country_code":"SS","type":"education","lineage":["https://openalex.org/I192929712"]},{"id":"https://openalex.org/I4210105167","display_name":"College of Industrial Engineering","ror":"https://ror.org/01j157486","country_code":"SI","type":"education","lineage":["https://openalex.org/I4210105167"]},{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA","SI","SS"],"is_corresponding":false,"raw_author_name":"Sahar Ahmed Idris","raw_affiliation_strings":["College of Industrial Engineering, King Khalid University, Abha 62529, Saudi Arabia","Department of Mathematics, College of Sciences, Juba University, Juba, Sudan","College of Industrial Engineering, King Khalid University, Abha 62529","Department of Mathematics, College of Sciences, Juba University, Juba"],"affiliations":[{"raw_affiliation_string":"College of Industrial Engineering, King Khalid University, Abha 62529, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Juba University, Juba, Sudan","institution_ids":[]},{"raw_affiliation_string":"College of Industrial Engineering, King Khalid University, Abha 62529","institution_ids":["https://openalex.org/I82952536","https://openalex.org/I4210105167"]},{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Juba University, Juba","institution_ids":["https://openalex.org/I192929712"]}]}],"institutions":[],"countries_distinct_count":6,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071351787"],"corresponding_institution_ids":["https://openalex.org/I137407579","https://openalex.org/I156216236"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.1386,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.47556388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"2021","issue":"1","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":0.9998999834060669,"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":0.9970999956130981,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.8923660516738892},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"Viscoelasticity","score":0.8909965753555298},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.826352059841156},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6045628786087036},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5381563305854797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5152047276496887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4993267059326172},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3848627209663391},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3445877432823181},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32934266328811646},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.0737067461013794}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.8923660516738892},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.8909965753555298},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.826352059841156},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6045628786087036},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5381563305854797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5152047276496887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4993267059326172},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3848627209663391},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3445877432823181},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32934266328811646},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0737067461013794},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/6820219","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6820219","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6820219.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6820219","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/complexity/2021/6820219.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:995315ae8222423598930a25c67745a9","is_oa":true,"landing_page_url":"https://doaj.org/article/995315ae8222423598930a25c67745a9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2021 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2021/6820219","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/6820219","pdf_url":"https://downloads.hindawi.com/journals/complexity/2021/6820219.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5720985810","display_name":null,"funder_award_id":"RGP2/53/42","funder_id":"https://openalex.org/F4320324433","funder_display_name":"King Khalid University"}],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215019754.pdf","grobid_xml":"https://content.openalex.org/works/W3215019754.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W567685990","https://openalex.org/W1482768477","https://openalex.org/W1565446714","https://openalex.org/W1975944444","https://openalex.org/W2006362483","https://openalex.org/W2060935231","https://openalex.org/W2075987939","https://openalex.org/W2082313635","https://openalex.org/W2129795455","https://openalex.org/W2741447987","https://openalex.org/W2909787635","https://openalex.org/W2953616985","https://openalex.org/W2982765988","https://openalex.org/W3004768534","https://openalex.org/W3010402904","https://openalex.org/W3023238776","https://openalex.org/W3030564734","https://openalex.org/W3034941284","https://openalex.org/W3173376297","https://openalex.org/W4230959044"],"related_works":["https://openalex.org/W4221057967","https://openalex.org/W4243019676","https://openalex.org/W2517352629","https://openalex.org/W2783562378","https://openalex.org/W4293192718","https://openalex.org/W2045876794","https://openalex.org/W2255703620","https://openalex.org/W807319463","https://openalex.org/W2040929039","https://openalex.org/W2784052753"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,24],"consider":[4],"a":[5],"quasilinear":[6],"system":[7],"of":[8,28],"viscoelastic":[9],"equations":[10],"with":[11],"degenerate":[12],"damping":[13],"and":[14],"source":[15],"terms":[16],"without":[17],"the":[18,26],"Kirchhoff":[19],"term.":[20],"Under":[21],"suitable":[22],"hypothesis,":[23],"study":[25],"blow\u2010up":[27],"solutions.":[29]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
