{"id":"https://openalex.org/W4311925287","doi":"https://doi.org/10.1109/summa57301.2022.9973846","title":"The Thermostatic State of a Homogeneous Body under the Influence of Surface and Volume Factors","display_name":"The Thermostatic State of a Homogeneous Body under the Influence of Surface and Volume Factors","publication_year":2022,"publication_date":"2022-11-09","ids":{"openalex":"https://openalex.org/W4311925287","doi":"https://doi.org/10.1109/summa57301.2022.9973846"},"language":"en","primary_location":{"id":"doi:10.1109/summa57301.2022.9973846","doi":"https://doi.org/10.1109/summa57301.2022.9973846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/summa57301.2022.9973846","pdf_url":null,"source":{"id":"https://openalex.org/S4363607907","display_name":"International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","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/A5020342420","display_name":"Lyubov Vladimirovna Levina","orcid":"https://orcid.org/0000-0002-7441-835X","observed_orcids":["https://orcid.org/0000-0002-7441-835X"]},"institutions":[{"id":"https://openalex.org/I4210089287","display_name":"Lipetsk State Technical University","ror":"https://ror.org/006fh5g40","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210089287"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Lyubov Levina","raw_affiliation_strings":["Lipetsk State Technical University,Department of Applied Mathematics,Lipetsk,Russia","Department of Applied Mathematics, Lipetsk State Technical University, Lipetsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lipetsk State Technical University,Department of Applied Mathematics,Lipetsk,Russia","institution_ids":["https://openalex.org/I4210089287"]},{"raw_affiliation_string":"Department of Applied Mathematics, Lipetsk State Technical University, Lipetsk, Russia","institution_ids":["https://openalex.org/I4210089287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037197169","display_name":"\u0412\u0438\u043a\u0442\u043e\u0440 \u0411\u043e\u0440\u0438\u0441\u043e\u0432\u0438\u0447 \u041f\u0435\u043d\u044c\u043a\u043e\u0432","orcid":"https://orcid.org/0000-0002-6059-1856","observed_orcids":["https://orcid.org/0000-0002-6059-1856"]},"institutions":[{"id":"https://openalex.org/I4210089287","display_name":"Lipetsk State Technical University","ror":"https://ror.org/006fh5g40","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210089287"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Viktor Penkov","raw_affiliation_strings":["Lipetsk State Technical University,Department of General Mechanics,Lipetsk,Russia","Department of General Mechanics, Lipetsk State Technical University, Lipetsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lipetsk State Technical University,Department of General Mechanics,Lipetsk,Russia","institution_ids":["https://openalex.org/I4210089287"]},{"raw_affiliation_string":"Department of General Mechanics, Lipetsk State Technical University, Lipetsk, Russia","institution_ids":["https://openalex.org/I4210089287"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210089287"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":null,"first_page":"133","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.7445999979972839,"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":0.7445999979972839,"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":0.23839999735355377,"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/T13806","display_name":"Mathematical and Computational Methods","score":0.004699999932199717,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/thermostatics","display_name":"thermostatics","score":0.8209999799728394},{"id":"https://openalex.org/keywords/poisson-equation","display_name":"Poisson equation","score":0.9380000233650208},{"id":"https://openalex.org/keywords/boundary-value-problems","display_name":"boundary value problems","score":0.9229999780654907},{"id":"https://openalex.org/keywords/harmonic-polynomials","display_name":"harmonic polynomials","score":0.7680000066757202},{"id":"https://openalex.org/keywords/fourier-coefficients","display_name":"Fourier coefficients","score":0.8080000281333923},{"id":"https://openalex.org/keywords/bessel-inequality","display_name":"Bessel inequality","score":0.9350000023841858},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.9430000185966492},{"id":"https://openalex.org/keywords/axisymmetric-bodies","display_name":"axisymmetric bodies","score":0.7639999985694885},{"id":"https://openalex.org/keywords/infinite-systems-of-linear-algebraic-equations","display_name":"infinite systems of linear equations","score":0.7689999938011169}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7052740454673767},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5988543629646301},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5790584683418274},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.49941086769104004},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.43962588906288147},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.4362882375717163},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2935250997543335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09223994612693787},{"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:10.1109/summa57301.2022.9973846","doi":"https://doi.org/10.1109/summa57301.2022.9973846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/summa57301.2022.9973846","pdf_url":null,"source":{"id":"https://openalex.org/S4363607907","display_name":"International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)","raw_type":"proceedings-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":3,"referenced_works":["https://openalex.org/W3014846344","https://openalex.org/W4247024214","https://openalex.org/W7036079705"],"related_works":["https://openalex.org/W4415985746","https://openalex.org/W2565485407","https://openalex.org/W2050428387","https://openalex.org/W2058415749","https://openalex.org/W4401164118","https://openalex.org/W260815874","https://openalex.org/W4255013704","https://openalex.org/W2997738583","https://openalex.org/W4392312095","https://openalex.org/W2052409258"],"abstract_inverted_index":{"The":[0,111,124],"method":[1],"of":[2,11,15,17,32,40,53,59,66,80,91,94,100,108,113,126,150,153],"boundary":[3,12,55,72,98],"states":[4,99],"(MBS)":[5],"is":[6,47,62,122,137,144],"applied":[7],"to":[8,75,87,104,118],"the":[9,33,37,54,57,60,67,71,88,92,95,101,105,115,120,154],"solution":[10,31,58,143],"value":[13,73],"problems":[14],"thermostatics":[16,132],"a":[18,27,41,76,127],"homogeneous":[19],"body.":[20],"A":[21,139],"correct":[22],"scheme":[23],"for":[24,36,133],"writing":[25],"out":[26],"strict":[28],"analytical":[29,142],"partial":[30],"Poisson":[34],"equation":[35],"right-hand":[38],"side":[39],"regular":[42],"character":[43],"described":[44],"by":[45,64,147],"polynomials":[46],"proposed":[48],"and":[49,97,141],"implemented.":[50],"After":[51],"correction":[52],"conditions,":[56],"problem":[61,74,130],"constructed":[63],"means":[65,149],"MBS,":[68],"which":[69],"leads":[70],"resolving":[77],"infinite":[78],"system":[79],"linear":[81],"algebraic":[82],"equations":[83],"(ISAE)":[84],"with":[85],"respect":[86],"Fourier":[89],"coefficients":[90],"decomposition":[93],"internal":[96],"body":[102],"according":[103],"orthonormal":[106],"basis":[107],"harmonic":[109],"polynomials.":[110],"importance":[112],"using":[114],"Bessel":[116],"inequality":[117],"achieve":[119],"goal":[121],"emphasized.":[123],"calculation":[125],"specific":[128],"Dirichlet":[129],"in":[131],"an":[134],"oblong":[135],"axisymmetric":[136],"performed.":[138],"numerical":[140],"obtained,":[145],"represented":[146],"graphical":[148],"computer":[151],"algebra":[152],"Mathematica":[155],"system.":[156]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-01-02T00:00:00"}
