{"id":"https://openalex.org/W2512809776","doi":"https://doi.org/10.1137/15m1038578","title":"Algebraic Decay to Equilibrium for the Becker--D\u00f6ring Equations","display_name":"Algebraic Decay to Equilibrium for the Becker--D\u00f6ring Equations","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2512809776","doi":"https://doi.org/10.1137/15m1038578","mag":"2512809776"},"language":"en","primary_location":{"id":"doi:10.1137/15m1038578","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1038578","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"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/A5073143742","display_name":"Ryan Murray","orcid":"https://orcid.org/0000-0002-4491-4096"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryan W. Murray","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013346577","display_name":"Robert L. Pego","orcid":"https://orcid.org/0000-0001-8502-2820"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert L. Pego","raw_affiliation_strings":["Carnegie Mellon University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5283,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88362311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"48","issue":"4","first_page":"2819","last_page":"2842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9984999895095825,"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":0.9984999895095825,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9943000078201294,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8332555294036865},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.7062011361122131},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.582790195941925},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5795776844024658},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5692959427833557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5099157094955444},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4589873254299164},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4531153440475464},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.433074414730072},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39945608377456665},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.17184039950370789},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.15155187249183655},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13192182779312134}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8332555294036865},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.7062011361122131},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.582790195941925},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5795776844024658},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5692959427833557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5099157094955444},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4589873254299164},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4531153440475464},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.433074414730072},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39945608377456665},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.17184039950370789},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.15155187249183655},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13192182779312134},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1038578","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1038578","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1663640165","display_name":null,"funder_award_id":"1515400","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G3402382677","display_name":null,"funder_award_id":"0967140","funder_id":"https://openalex.org/F4320337370","funder_display_name":"Office of International Science and Engineering"},{"id":"https://openalex.org/G601966277","display_name":null,"funder_award_id":"1211161","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G7499289215","display_name":null,"funder_award_id":"CMU/MAT/0007/2009","funder_id":"https://openalex.org/F4320321868","funder_display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o e Ci\u00eancia"}],"funders":[{"id":"https://openalex.org/F4320321868","display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o e Ci\u00eancia","ror":"https://ror.org/02xv42m49"},{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"},{"id":"https://openalex.org/F4320337370","display_name":"Office of International Science and Engineering","ror":"https://ror.org/01k638r21"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1966615048","https://openalex.org/W2008239175","https://openalex.org/W2009393079","https://openalex.org/W2014272650","https://openalex.org/W2047137396","https://openalex.org/W2062324255","https://openalex.org/W2083790305","https://openalex.org/W2166391904","https://openalex.org/W2501090711","https://openalex.org/W4256038985"],"related_works":["https://openalex.org/W2347486132","https://openalex.org/W2316789606","https://openalex.org/W2350340797","https://openalex.org/W4293224283","https://openalex.org/W2950501077","https://openalex.org/W3103131439","https://openalex.org/W1550793090","https://openalex.org/W1928555856","https://openalex.org/W3017207661","https://openalex.org/W1895124089"],"abstract_inverted_index":{"This":[0,32],"paper":[1],"studies":[2],"rates":[3,19],"of":[4,20,27,57],"decay":[5,21],"to":[6],"equilibrium":[7,28],"for":[8],"the":[9,55],"Becker--D\u00f6ring":[10],"equations":[11],"with":[12],"subcritical":[13],"initial":[14,25],"data.":[15],"In":[16],"particular,":[17],"algebraic":[18],"are":[22],"established":[23],"when":[24],"perturbations":[26],"have":[29],"polynomial":[30],"moments.":[31],"is":[33],"proved":[34],"by":[35],"using":[36],"new":[37],"dissipation":[38],"estimates":[39,53],"in":[40],"polynomially":[41],"weighted":[42],"$\\ell^1$":[43],"spaces,":[44],"operator":[45],"decomposition":[46],"techniques":[47],"from":[48,54],"kinetic":[49],"theory,":[50],"and":[51],"interpolation":[52],"study":[56],"traveling":[58],"waves.":[59]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
