{"id":"https://openalex.org/W1618583818","doi":"https://doi.org/10.1007/978-3-319-10515-4_23","title":"Lie Symmetry Analysis for Cosserat Rods","display_name":"Lie Symmetry Analysis for Cosserat Rods","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1618583818","doi":"https://doi.org/10.1007/978-3-319-10515-4_23","mag":"1618583818"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-10515-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5039203502","display_name":"Dominik L. Michels","orcid":"https://orcid.org/0000-0002-1621-325X"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dominik L. Michels","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, California Institute of Technology, 1200 E.\u00a0California Blvd., MC 305-16, Pasadena, CA, 91125-2100, USA","California  Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, California Institute of Technology, 1200 E.\u00a0California Blvd., MC 305-16, Pasadena, CA, 91125-2100, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060326886","display_name":"Dmitry Lyakhov","orcid":"https://orcid.org/0000-0001-8034-9568"},"institutions":[{"id":"https://openalex.org/I4210118873","display_name":"A.V. Luikov Heat and Mass Transfer Institute","ror":"https://ror.org/02pfhsd84","country_code":"BY","type":"education","lineage":["https://openalex.org/I151823869","https://openalex.org/I4210113715","https://openalex.org/I4210118873"]},{"id":"https://openalex.org/I151823869","display_name":"National Academy of Sciences of Belarus","ror":"https://ror.org/02j8pe645","country_code":"BY","type":"government","lineage":["https://openalex.org/I151823869"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Dmitry A. Lyakhov","raw_affiliation_strings":["Radiation Gaseous Dynamics Lab, A.\u00a0V.\u00a0Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, P.\u00a0Brovka St 15, 220072, Minsk, Belarus","A.V. LUIKOV HEAT & MASS TRANSFER INSTITUTE OF THE NATIONAL ACADEMY OF SCIENCES OF BELARUS"],"affiliations":[{"raw_affiliation_string":"Radiation Gaseous Dynamics Lab, A.\u00a0V.\u00a0Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, P.\u00a0Brovka St 15, 220072, Minsk, Belarus","institution_ids":["https://openalex.org/I4210118873","https://openalex.org/I151823869"]},{"raw_affiliation_string":"A.V. LUIKOV HEAT & MASS TRANSFER INSTITUTE OF THE NATIONAL ACADEMY OF SCIENCES OF BELARUS","institution_ids":["https://openalex.org/I151823869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065468649","display_name":"Vladimir P. Gerdt","orcid":"https://orcid.org/0000-0002-0825-1811"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir P. Gerdt","raw_affiliation_strings":["Group of Algebraic and Quantum Computations, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980, Dubna, Moscow Region, Russia","Joint Institute for Nuclear Research"],"affiliations":[{"raw_affiliation_string":"Group of Algebraic and Quantum Computations, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980, Dubna, Moscow Region, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Joint Institute for Nuclear Research","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073773806","display_name":"Gerrit Sobottka","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerrit A. Sobottka","raw_affiliation_strings":["Multimedia, Simulation and Virtual Reality Group, Institute of Computer Science II, University of Bonn, Friedrich-Ebert-Allee 144, 53113, Bonn, Germany","University of Bonn"],"affiliations":[{"raw_affiliation_string":"Multimedia, Simulation and Virtual Reality Group, Institute of Computer Science II, University of Bonn, Friedrich-Ebert-Allee 144, 53113, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025359202","display_name":"Andreas Weber\u22c6","orcid":"https://orcid.org/0000-0001-5624-3368"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas G. Weber","raw_affiliation_strings":["Multimedia, Simulation and Virtual Reality Group, Institute of Computer Science II, University of Bonn, Friedrich-Ebert-Allee 144, 53113, Bonn, Germany","University of Bonn"],"affiliations":[{"raw_affiliation_string":"Multimedia, Simulation and Virtual Reality Group, Institute of Computer Science II, University of Bonn, Friedrich-Ebert-Allee 144, 53113, Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5039203502"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0853,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.88560087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"324","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9818999767303467,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.947700023651123,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/rod","display_name":"Rod","score":0.746391773223877},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6145884990692139},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5688750147819519},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5262279510498047},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5227963328361511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4273204207420349},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4124915599822998},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17788437008857727}],"concepts":[{"id":"https://openalex.org/C162184086","wikidata":"https://www.wikidata.org/wiki/Q505544","display_name":"Rod","level":3,"score":0.746391773223877},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6145884990692139},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5688750147819519},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5262279510498047},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5227963328361511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4273204207420349},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4124915599822998},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17788437008857727},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-10515-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-10515-4_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W133145907","https://openalex.org/W144124306","https://openalex.org/W169946747","https://openalex.org/W600267823","https://openalex.org/W1508861003","https://openalex.org/W1595843857","https://openalex.org/W2008880352","https://openalex.org/W2022747044","https://openalex.org/W2031357596","https://openalex.org/W2048446124","https://openalex.org/W2049707341","https://openalex.org/W2065989671","https://openalex.org/W2128311574","https://openalex.org/W2155809947","https://openalex.org/W2295620070","https://openalex.org/W2329638820","https://openalex.org/W2588912823","https://openalex.org/W3141151088","https://openalex.org/W3141975719","https://openalex.org/W4232970652","https://openalex.org/W4292993127"],"related_works":["https://openalex.org/W4316464801","https://openalex.org/W2205893534","https://openalex.org/W3162917587","https://openalex.org/W1147724535","https://openalex.org/W28598146","https://openalex.org/W3087599204","https://openalex.org/W1910097839","https://openalex.org/W2239378811","https://openalex.org/W2034066118","https://openalex.org/W1634441579"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}