{"id":"https://openalex.org/W2464053971","doi":"https://doi.org/10.1007/s10255-015-0535-8","title":"Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping","display_name":"Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping","publication_year":2016,"publication_date":"2016-04-04","ids":{"openalex":"https://openalex.org/W2464053971","doi":"https://doi.org/10.1007/s10255-015-0535-8","mag":"2464053971"},"language":"en","primary_location":{"id":"doi:10.1007/s10255-015-0535-8","doi":"https://doi.org/10.1007/s10255-015-0535-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10255-015-0535-8","pdf_url":null,"source":{"id":"https://openalex.org/S77092102","display_name":"Acta Mathematicae Applicatae Sinica English Series","issn_l":"0168-9673","issn":["0168-9673","1618-3932"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Mathematicae Applicatae Sinica, English Series","raw_type":"journal-article"},"volume":null,"type":"article","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/A5062388728","display_name":"Shifeng Geng","orcid":"https://orcid.org/0000-0002-9048-8526","observed_orcids":["https://orcid.org/0000-0002-9048-8526"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210099135","display_name":"Wuhan Institute of Physics and Mathematics","ror":"https://ror.org/00zky9d41","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210099135","https://openalex.org/I4405261497"]},{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shi-feng Geng","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China","Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210099135"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002192104","display_name":"Zhen Wang","orcid":"https://orcid.org/0000-0002-1153-2622","observed_orcids":["https://orcid.org/0000-0002-1153-2622"]},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Wang","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062388728"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210099135","https://openalex.org/I4610292"],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.05731204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"32","issue":"1","first_page":"55","last_page":"66"},"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":0.8916000127792358,"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":0.8916000127792358,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.0430000014603138,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.02250000089406967,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/quasilinear-hyperbolic-equations","display_name":"quasilinear hyperbolic equations","score":0.9980000257492065},{"id":"https://openalex.org/keywords/nonlinear-damping","display_name":"nonlinear damping","score":0.9990000128746033},{"id":"https://openalex.org/keywords/asymptotic-profiles","display_name":"asymptotic profiles","score":0.921999990940094},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.9810000061988831},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equations","display_name":"parabolic equations","score":0.574999988079071},{"id":"https://openalex.org/keywords/initial-data","display_name":"initial data","score":0.49900001287460327},{"id":"https://openalex.org/keywords/long-time-behavior","display_name":"long-time behavior","score":0.4860000014305115}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6801566481590271},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.6719973087310791},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.666791558265686},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.652019202709198},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.621394157409668},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5122002959251404},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4983501434326172},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4263101816177368},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33242809772491455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16799050569534302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05076083540916443},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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":1,"locations":[{"id":"doi:10.1007/s10255-015-0535-8","doi":"https://doi.org/10.1007/s10255-015-0535-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10255-015-0535-8","pdf_url":null,"source":{"id":"https://openalex.org/S77092102","display_name":"Acta Mathematicae Applicatae Sinica English Series","issn_l":"0168-9673","issn":["0168-9673","1618-3932"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Mathematicae Applicatae Sinica, English Series","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/13","score":0.5699999928474426,"display_name":"Climate action"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1970288711","https://openalex.org/W1983316458","https://openalex.org/W1984863197","https://openalex.org/W1985006985","https://openalex.org/W2007279962","https://openalex.org/W2017493957","https://openalex.org/W2026739813","https://openalex.org/W2029461541","https://openalex.org/W2048627180","https://openalex.org/W2085689048","https://openalex.org/W2087757234","https://openalex.org/W2096998373","https://openalex.org/W3215219284","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2066764747","https://openalex.org/W161810272","https://openalex.org/W144405564","https://openalex.org/W2969693569","https://openalex.org/W3118471514","https://openalex.org/W2069661783","https://openalex.org/W2609974967","https://openalex.org/W1978474130","https://openalex.org/W2057159272","https://openalex.org/W1994633937"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-09-21T07:43:02.447757","created_date":"2025-10-10T00:00:00"}
