{"id":"https://openalex.org/W2025252575","doi":"https://doi.org/10.1007/bf00251506","title":"Stability in L1 for the spatially homogenous Boltzmann equation","display_name":"Stability in L1 for the spatially homogenous Boltzmann equation","publication_year":1988,"publication_date":"1988-09-01","ids":{"openalex":"https://openalex.org/W2025252575","doi":"https://doi.org/10.1007/bf00251506","mag":"2025252575"},"language":"en","primary_location":{"id":"doi:10.1007/bf00251506","doi":"https://doi.org/10.1007/bf00251506","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00251506","pdf_url":null,"source":{"id":"https://openalex.org/S136982523","display_name":"Archive for Rational Mechanics and Analysis","issn_l":"0003-9527","issn":["0003-9527","1432-0673"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Archive for Rational Mechanics and Analysis","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/A5077253661","display_name":"Leif Arkeryd","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Leif Arkeryd","raw_affiliation_strings":["Mathematics Department, Chalmers Institute of Technology University of G\u00f6teborg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Chalmers Institute of Technology University of G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077253661"],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":2.0283,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.85371662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"103","issue":"2","first_page":"151","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.986299991607666,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.986299991607666,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.0008999999845400453,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.0008999999845400453,"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/boltzmann-equation","display_name":"Boltzmann equation","score":0.9829999804496765},{"id":"https://openalex.org/keywords/l1-stability","display_name":"L1 stability","score":0.8370000123977661},{"id":"https://openalex.org/keywords/spatially-homogeneous-boltzmann-equation","display_name":"spatially homogeneous Boltzmann equation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/kinetic-theory-of-gases","display_name":"kinetic theory of gases","score":0.5199999809265137},{"id":"https://openalex.org/keywords/weak-solutions","display_name":"weak solutions","score":0.414000004529953}],"concepts":[{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.7324205040931702},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6297110319137573},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.5794034004211426},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5626888275146484},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.4886517822742462},{"id":"https://openalex.org/C109757611","wikidata":"https://www.wikidata.org/wiki/Q901009","display_name":"Poisson\u2013Boltzmann equation","level":3,"score":0.48698362708091736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4625052809715271},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4508228302001953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38071128726005554},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3712804317474365},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3500279188156128},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2701677680015564},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.234651118516922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1900281310081482},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10294413566589355},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08018755912780762},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00251506","doi":"https://doi.org/10.1007/bf00251506","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00251506","pdf_url":null,"source":{"id":"https://openalex.org/S136982523","display_name":"Archive for Rational Mechanics and Analysis","issn_l":"0003-9527","issn":["0003-9527","1432-0673"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","norway-2","poland-140","russia-white-list-1"],"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":"Archive for Rational Mechanics and Analysis","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":17,"referenced_works":["https://openalex.org/W1575147392","https://openalex.org/W1622588977","https://openalex.org/W1974110902","https://openalex.org/W1994933289","https://openalex.org/W2000316337","https://openalex.org/W2000835406","https://openalex.org/W2005989020","https://openalex.org/W2019579692","https://openalex.org/W2019844250","https://openalex.org/W2025428159","https://openalex.org/W2070117020","https://openalex.org/W2072453847","https://openalex.org/W2080877741","https://openalex.org/W2089096299","https://openalex.org/W2313638164","https://openalex.org/W3005465185","https://openalex.org/W4300657400"],"related_works":["https://openalex.org/W2471817263","https://openalex.org/W2095212749","https://openalex.org/W2091687378","https://openalex.org/W44857498","https://openalex.org/W2062900651","https://openalex.org/W2147968878","https://openalex.org/W2010976685","https://openalex.org/W2962692967","https://openalex.org/W1982308955","https://openalex.org/W2050673551"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}