{"id":"https://openalex.org/W7082002330","doi":"https://doi.org/10.1134/s1995080225606034","title":"Long-Time Asymptotics for Dirac Fields Coupled to a Particle","display_name":"Long-Time Asymptotics for Dirac Fields Coupled to a Particle","publication_year":2025,"publication_date":"2025-05-01","ids":{"openalex":"https://openalex.org/W7082002330","doi":"https://doi.org/10.1134/s1995080225606034"},"language":"en","primary_location":{"id":"doi:10.1134/s1995080225606034","doi":"https://doi.org/10.1134/s1995080225606034","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1995080225606034","pdf_url":null,"source":{"id":"https://openalex.org/S106263159","display_name":"Lobachevskii Journal of Mathematics","issn_l":"1818-9962","issn":["1818-9962","1995-0802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lobachevskii Journal of Mathematics","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/A5021909666","display_name":"Tatiana Vladimirovna Dudnikova","orcid":"https://orcid.org/0000-0001-9274-3212","observed_orcids":["https://orcid.org/0000-0001-9274-3212"]},"institutions":[{"id":"https://openalex.org/I86427540","display_name":"Keldysh Institute of Applied Mathematics","ror":"https://ror.org/01dv3hq14","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601","https://openalex.org/I86427540"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"T. V. Dudnikova","raw_affiliation_strings":["Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 125047, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 125047, Moscow, Russia","institution_ids":["https://openalex.org/I86427540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021909666"],"corresponding_institution_ids":["https://openalex.org/I86427540"],"apc_list":null,"apc_paid":null,"fwci":1.6136,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8585997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"46","issue":"5","first_page":"2330","last_page":"2342"},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.8012999892234802,"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":0.8012999892234802,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.13950000703334808,"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":0.023800000548362732,"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/dirac-field","display_name":"Dirac field","score":0.9580000042915344},{"id":"https://openalex.org/keywords/long-time-behavior","display_name":"long-time behavior","score":0.7919999957084656},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.921999990940094},{"id":"https://openalex.org/keywords/weighted-spaces","display_name":"weighted function spaces","score":0.718999981880188},{"id":"https://openalex.org/keywords/linear-hyperbolic-systems","display_name":"linear hyperbolic systems","score":0.5989999771118164}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.78329998254776},{"id":"https://openalex.org/C61039578","wikidata":"https://www.wikidata.org/wiki/Q604279","display_name":"Dirac (video compression format)","level":3,"score":0.7389000058174133},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.5382000207901001},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.46369999647140503},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.45680001378059387},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4474000036716461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4034999907016754},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.3968999981880188},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.3504999876022339},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.3278000056743622},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2831999957561493},{"id":"https://openalex.org/C50953366","wikidata":"https://www.wikidata.org/wiki/Q385599","display_name":"Dirac comb","level":5,"score":0.26980000734329224},{"id":"https://openalex.org/C111118313","wikidata":"https://www.wikidata.org/wiki/Q1227387","display_name":"Dirac measure","level":5,"score":0.26899999380111694},{"id":"https://openalex.org/C189658257","wikidata":"https://www.wikidata.org/wiki/Q834025","display_name":"Cauchy's integral theorem","level":5,"score":0.26440000534057617},{"id":"https://openalex.org/C158650840","wikidata":"https://www.wikidata.org/wiki/Q907439","display_name":"Dirac operator","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C54486999","wikidata":"https://www.wikidata.org/wiki/Q209675","display_name":"Dirac delta function","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s1995080225606034","doi":"https://doi.org/10.1134/s1995080225606034","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1995080225606034","pdf_url":null,"source":{"id":"https://openalex.org/S106263159","display_name":"Lobachevskii Journal of Mathematics","issn_l":"1818-9962","issn":["1818-9962","1995-0802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","dongbi-d","jufo-1","norway-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lobachevskii Journal of Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.4682275652885437,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W602593568","https://openalex.org/W1545201582","https://openalex.org/W1997476507","https://openalex.org/W2007085143","https://openalex.org/W2964233114","https://openalex.org/W3182726907"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,27],"consider":[2],"the":[3,19,23,29,33,36],"Cauchy":[4],"problem":[5],"for":[6,32],"a":[7,16],"linear":[8],"system":[9],"consisting":[10],"of":[11,35],"several":[12],"Dirac":[13],"fields":[14],"and":[15],"particle":[17],"with":[18],"initial":[20],"data":[21],"in":[22],"weighted":[24],"Agmon":[25],"spaces.":[26],"establish":[28],"long-time":[30],"asymptotics":[31],"solutions":[34],"system.":[37]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
