{"id":"https://openalex.org/W2016390508","doi":"https://doi.org/10.1007/bf01097863","title":"The Green's function method in stationary and nonstationary nonlinear heat-conduction problems","display_name":"The Green's function method in stationary and nonstationary nonlinear heat-conduction problems","publication_year":1993,"publication_date":"1993-10-01","ids":{"openalex":"https://openalex.org/W2016390508","doi":"https://doi.org/10.1007/bf01097863","mag":"2016390508"},"language":"en","primary_location":{"id":"doi:10.1007/bf01097863","doi":"https://doi.org/10.1007/bf01097863","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01097863","pdf_url":null,"source":{"id":"https://openalex.org/S83211391","display_name":"Journal of Mathematical Sciences","issn_l":"1072-3374","issn":["1072-3374","1072-1964","1573-8795"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"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":"Journal of Soviet Mathematics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2016390508"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5035673030","display_name":"B. V. Koval\u2019chuk","orcid":"https://orcid.org/0000-0002-6074-8913","observed_orcids":["https://orcid.org/0000-0002-6074-8913"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. V. Koval'chuk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005962625","display_name":"G. P. Lopushanskaya","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. P. Lopushanskaya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3490,"currency":"USD","value_usd":3490},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"66","issue":"6","first_page":"2587","last_page":"2591"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9814000129699707,"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"}},"topics":[{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9814000129699707,"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"}},{"id":"https://openalex.org/T13116","display_name":"Heat Transfer and Numerical Methods","score":0.014000000432133675,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.002899999963119626,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/green-s-function","display_name":"Green's function","score":0.9229999780654907},{"id":"https://openalex.org/keywords/nonlinear-heat-conduction","display_name":"nonlinear heat conduction","score":0.9490000009536743},{"id":"https://openalex.org/keywords/non-stationary-heat-conduction","display_name":"non-stationary heat conduction","score":0.8320000171661377},{"id":"https://openalex.org/keywords/quasilinear-parabolic-equations","display_name":"quasilinear parabolic equations","score":0.8640000224113464},{"id":"https://openalex.org/keywords/second-order-elliptic-equations","display_name":"second-order elliptic equations","score":0.8140000104904175},{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.8759999871253967},{"id":"https://openalex.org/keywords/radiant-heat-transfer","display_name":"radiant heat transfer","score":0.9800000190734863}],"concepts":[{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.782849133014679},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6678025722503662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5964499115943909},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.5782132744789124},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.571391761302948},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5684682130813599},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.500760555267334},{"id":"https://openalex.org/C132312353","wikidata":"https://www.wikidata.org/wiki/Q378435","display_name":"Green's function","level":3,"score":0.4783456027507782},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.374461829662323},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2641686797142029},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24836254119873047},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.21641656756401062},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/bf01097863","doi":"https://doi.org/10.1007/bf01097863","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01097863","pdf_url":null,"source":{"id":"https://openalex.org/S83211391","display_name":"Journal of Mathematical Sciences","issn_l":"1072-3374","issn":["1072-3374","1072-1964","1573-8795"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","jufo-1","norway-1","poland-40","russia-white-list-4","vabb-shw"],"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":"Journal of Soviet Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1496554474","https://openalex.org/W1602967628","https://openalex.org/W2072685235","https://openalex.org/W2327505909","https://openalex.org/W2334095483","https://openalex.org/W4376464691"],"related_works":["https://openalex.org/W2033862043","https://openalex.org/W2069321340","https://openalex.org/W2021778660","https://openalex.org/W2570526996","https://openalex.org/W3120639161","https://openalex.org/W771266644","https://openalex.org/W1542734139","https://openalex.org/W2347532676","https://openalex.org/W2945935859","https://openalex.org/W2771019751"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}
