{"id":"https://openalex.org/W1996776940","doi":"https://doi.org/10.1137/090752602","title":"Large Time Asymptotics for a Continuous Coagulation-Fragmentation Model with Degenerate Size-Dependent Diffusion","display_name":"Large Time Asymptotics for a Continuous Coagulation-Fragmentation Model with Degenerate Size-Dependent Diffusion","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1996776940","doi":"https://doi.org/10.1137/090752602","mag":"1996776940"},"language":"en","primary_location":{"id":"doi:10.1137/090752602","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090752602","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/A5109943043","display_name":"Laurent Desvillettes","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent Desvillettes","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040414255","display_name":"Klemens Fellner","orcid":"https://orcid.org/0000-0001-9906-8977"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Klemens Fellner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8163,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.67633974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":"6","first_page":"2315","last_page":"2334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9782999753952026,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9782999753952026,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9775999784469604,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9732000231742859,"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/mathematics","display_name":"Mathematics","score":0.7836942076683044},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6751315593719482},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.532491147518158},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.44398200511932373},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.41133391857147217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17134875059127808},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10749602317810059}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7836942076683044},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6751315593719482},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.532491147518158},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.44398200511932373},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.41133391857147217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17134875059127808},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10749602317810059},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090752602","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090752602","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"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/598698","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/598698","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W51082833","https://openalex.org/W133732286","https://openalex.org/W166263191","https://openalex.org/W1667069063","https://openalex.org/W1966615048","https://openalex.org/W1973608372","https://openalex.org/W1999802587","https://openalex.org/W2012205310","https://openalex.org/W2020878664","https://openalex.org/W2022322025","https://openalex.org/W2022428448","https://openalex.org/W2027383644","https://openalex.org/W2027564485","https://openalex.org/W2028324513","https://openalex.org/W2037730640","https://openalex.org/W2046916343","https://openalex.org/W2048179865","https://openalex.org/W2051894772","https://openalex.org/W2056518217","https://openalex.org/W2057073325","https://openalex.org/W2062705313","https://openalex.org/W2069664970","https://openalex.org/W2071039916","https://openalex.org/W2075464343","https://openalex.org/W2082218048","https://openalex.org/W2092032999","https://openalex.org/W2109081342","https://openalex.org/W2142853811","https://openalex.org/W2149570896","https://openalex.org/W2276210967","https://openalex.org/W2320229498","https://openalex.org/W2610323627","https://openalex.org/W2983171147","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2353039109","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W4315588385","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":{"We":[0,56,69],"study":[1],"a":[2,32,75],"continuous":[3],"coagulation-fragmentation":[4],"model":[5],"with":[6,37],"constant":[7],"kernels":[8],"for":[9,51,90,99],"reacting":[10],"polymers":[11,26],"(see":[12],"[M.":[13],"Aizenman":[14],"and":[15,53,81,112],"T.":[16],"Bak,":[17],"Comm.":[18,115],"Math.":[19,116],"Phys.,":[20,117],"65":[21],"(1979),":[22],"pp.":[23,120],"203\u2013230]).":[24],"The":[25],"are":[27,128],"set":[28],"to":[29],"diffuse":[30],"within":[31],"smooth":[33],"bounded":[34,129],"one-dimensional":[35],"domain":[36],"no-flux":[38],"boundary":[39],"conditions.":[40],"In":[41],"particular,":[42],"we":[43,83],"consider":[44],"size-dependent":[45],"diffusion":[46,91,126],"coefficients,":[47],"which":[48,93,122],"may":[49],"degenerate":[50],"small":[52],"large":[54,100],"cluster-sizes.":[55],"prove":[57],"that":[58,124],"the":[59,72,104,125],"entropy-entropy":[60],"dissipation":[61],"method":[62],"applies":[63],"directly":[64],"in":[65,78],"this":[66],"inhomogeneous":[67],"setting.":[68],"first":[70],"show":[71,84],"necessary":[73],"basic":[74],"priori":[76],"estimates":[77],"dimension":[79],"one,":[80],"second":[82],"faster-than-polynomial":[85],"convergence":[86],"toward":[87],"global":[88],"equilibria":[89],"coefficients":[92,127],"vanish":[94],"not":[95],"faster":[96],"than":[97],"linearly":[98],"sizes.":[101],"This":[102],"extends":[103],"previous":[105],"results":[106],"of":[107],"[J.A.":[108],"Carrillo,":[109],"L.":[110],"Desvillettes,":[111],"K.":[113],"Fellner,":[114],"278":[118],"(2008),":[119],"433\u2013451],":[121],"assumes":[123],"below.":[130]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}