{"id":"https://openalex.org/W4409702425","doi":"https://doi.org/10.1088/1361-6544/adcb82","title":"Blow-up for a wave equation with Hartree-type nonlinearity","display_name":"Blow-up for a wave equation with Hartree-type nonlinearity","publication_year":2025,"publication_date":"2025-04-23","ids":{"openalex":"https://openalex.org/W4409702425","doi":"https://doi.org/10.1088/1361-6544/adcb82"},"language":"en","primary_location":{"id":"doi:10.1088/1361-6544/adcb82","doi":"https://doi.org/10.1088/1361-6544/adcb82","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1361-6544/adcb82","pdf_url":null,"source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","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/A5051491371","display_name":"Hang Jun Ding","orcid":"https://orcid.org/0000-0002-7395-6332","observed_orcids":["https://orcid.org/0000-0002-7395-6332"]},"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"]},{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Ding","raw_affiliation_strings":["School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, People\u2019s Republic of China","School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, People\u2019s Republic of China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043106122","display_name":"Jun Xing Zhou","orcid":"https://orcid.org/0000-0003-0674-9154","observed_orcids":["https://orcid.org/0000-0003-0674-9154","https://orcid.org/0000-0003-4353-1621"]},"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":true,"raw_author_name":"Jun Zhou","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-0674-9154","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, People\u2019s Republic of China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043106122"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12516198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"5","first_page":"055012","last_page":"055012"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9208999872207642,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9208999872207642,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.06620000302791595,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.010599999688565731,"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/blow-up","display_name":"blow-up","score":0.7369999885559082},{"id":"https://openalex.org/keywords/wave-equation","display_name":"wave equation","score":0.8730000257492065},{"id":"https://openalex.org/keywords/hartree-type-nonlinearity","display_name":"Hartree-type nonlinearity","score":0.9800000190734863},{"id":"https://openalex.org/keywords/bounded-domains","display_name":"bounded domains","score":0.746999979019165},{"id":"https://openalex.org/keywords/initial-energy","display_name":"initial energy","score":0.7670000195503235},{"id":"https://openalex.org/keywords/blow-up-solutions","display_name":"blow-up solutions","score":0.765999972820282},{"id":"https://openalex.org/keywords/blow-up-rate","display_name":"blow-up rate","score":0.8220000267028809}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8807043433189392},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6253560781478882},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.54127436876297},{"id":"https://openalex.org/C145196801","wikidata":"https://www.wikidata.org/wiki/Q476572","display_name":"Hartree","level":2,"score":0.5364675521850586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.48262152075767517},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3716275691986084},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09861412644386292},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07605153322219849},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05282014608383179},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.04836490750312805}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1361-6544/adcb82","doi":"https://doi.org/10.1088/1361-6544/adcb82","is_oa":false,"landing_page_url":"https://doi.org/10.1088/1361-6544/adcb82","pdf_url":null,"source":{"id":"https://openalex.org/S158842918","display_name":"Nonlinearity","issn_l":"0951-7715","issn":["0951-7715","1361-6544"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinearity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1543900237","https://openalex.org/W1967353827","https://openalex.org/W1972353758","https://openalex.org/W1972507114","https://openalex.org/W1974304530","https://openalex.org/W1976383535","https://openalex.org/W1981436316","https://openalex.org/W1993142553","https://openalex.org/W1998482394","https://openalex.org/W1999455630","https://openalex.org/W2002298510","https://openalex.org/W2003813466","https://openalex.org/W2016672830","https://openalex.org/W2020107848","https://openalex.org/W2020679815","https://openalex.org/W2024125865","https://openalex.org/W2041524221","https://openalex.org/W2047699725","https://openalex.org/W2050628952","https://openalex.org/W2054024962","https://openalex.org/W2054330338","https://openalex.org/W2054543936","https://openalex.org/W2071357402","https://openalex.org/W2073770211","https://openalex.org/W2086255403","https://openalex.org/W2087920506","https://openalex.org/W2090679922","https://openalex.org/W2114287606","https://openalex.org/W2114665797","https://openalex.org/W2163597171","https://openalex.org/W2330401141","https://openalex.org/W2416979652","https://openalex.org/W2582295881","https://openalex.org/W2591575632","https://openalex.org/W2922213454","https://openalex.org/W2990199000","https://openalex.org/W3006304768","https://openalex.org/W3027678549","https://openalex.org/W3112694487","https://openalex.org/W4285589061","https://openalex.org/W4396221241"],"related_works":["https://openalex.org/W2053246118","https://openalex.org/W2234416345","https://openalex.org/W2008931657","https://openalex.org/W1991786975","https://openalex.org/W1971405701","https://openalex.org/W2302414742","https://openalex.org/W2075289072","https://openalex.org/W1595247525","https://openalex.org/W2338382138","https://openalex.org/W3099978324"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"study":[2],"establishes":[3],"a":[4,121],"systematic":[5],"theoretical":[6],"framework":[7],"for":[8,52,72,104,124],"blow-up":[9,25,53,67,86,106,112,125],"dynamics":[10,113,126],"of":[11,49,66,82,85],"wave":[12,129],"equations":[13],"with":[14],"Hartree-type":[15],"nonlinearity":[16],"in":[17,55,88,127],"bounded":[18],"domains.":[19],"Building":[20],"upon":[21],"existing":[22],"results":[23,119],"on":[24],"criteria":[26],"under":[27],"subcritical":[28,57],"and":[29,58,98],"critical":[30,59],"initial":[31,60,74,90],"energy":[32,42,61,75,91,116],"levels,":[33,76],"three":[34],"fundamental":[35],"advancements":[36],"are":[37,102],"achieved:":[38],"First,":[39],"an":[40],"improved":[41],"estimation":[43,100],"method":[44],"enables":[45],"the":[46,64,79,83,111],"quantitative":[47],"derivation":[48],"upper":[50],"bounds":[51,97],"time":[54],"both":[56],"regimes.":[62],"Second,":[63],"existence":[65,84],"solutions":[68,87],"is":[69],"rigorously":[70],"proven":[71],"arbitrary":[73],"particularly":[77],"resolving":[78],"long-standing":[80],"challenge":[81],"supercritical":[89],"regime.":[92],"Third,":[93],"universal":[94],"temporal":[95],"lower":[96],"rate":[99],"principles":[101],"revealed":[103],"all":[105],"solutions,":[107],"thereby":[108],"comprehensively":[109],"characterizing":[110],"across":[114],"different":[115],"hierarchies.":[117],"These":[118],"establish":[120],"unified":[122],"approach":[123],"nonlocal":[128],"equations.":[130]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}