{"id":"https://openalex.org/W4388494233","doi":"https://doi.org/10.1137/22m1529270","title":"Hidden Dissipation and Convexity for Kimura Equations","display_name":"Hidden Dissipation and Convexity for Kimura Equations","publication_year":2023,"publication_date":"2023-11-08","ids":{"openalex":"https://openalex.org/W4388494233","doi":"https://doi.org/10.1137/22m1529270"},"language":"en","primary_location":{"id":"doi:10.1137/22m1529270","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529270","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/A5072968474","display_name":"Jean\u2010Baptiste Casteras","orcid":"https://orcid.org/0000-0002-6773-6560"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Jean-Baptiste Casteras","raw_affiliation_strings":["CMAFcIO, Faculdade de Ci\u00eancias da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"CMAFcIO, Faculdade de Ci\u00eancias da Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048384996","display_name":"L\u00e9onard Monsaingeon","orcid":"https://orcid.org/0000-0001-5225-3075"},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"L\u00e9onard Monsaingeon","raw_affiliation_strings":["Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine, F-54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France, and Grupo de F\u00edsica Matem\u00e1tica, GFMUL, Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"Institut \u00c9lie Cartan de Lorraine, Universit\u00e9 de Lorraine, F-54506 Vandoeuvre-l\u00e8s-Nancy Cedex, France, and Grupo de F\u00edsica Matem\u00e1tica, GFMUL, Faculdade de Ci\u00eancias, Universidade de Lisboa, 1749-016, Lisbon, Portugal","institution_ids":["https://openalex.org/I3017839442"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072968474"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":null,"apc_paid":null,"fwci":2.0754,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86969993,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"55","issue":"6","first_page":"7361","last_page":"7398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9995999932289124,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9995999932289124,"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":0.9976999759674072,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9853000044822693,"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/mathematics","display_name":"Mathematics","score":0.8565530776977539},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7483834028244019},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6810909509658813},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.6217109560966492},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.61567223072052},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5521562695503235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5314387679100037},{"id":"https://openalex.org/keywords/wasserstein-metric","display_name":"Wasserstein metric","score":0.45962774753570557},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4268537163734436},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4206628203392029}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8565530776977539},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7483834028244019},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6810909509658813},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.6217109560966492},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.61567223072052},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5521562695503235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5314387679100037},{"id":"https://openalex.org/C2777634741","wikidata":"https://www.wikidata.org/wiki/Q768993","display_name":"Wasserstein metric","level":2,"score":0.45962774753570557},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4268537163734436},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4206628203392029},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1529270","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1529270","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/G5671242290","display_name":null,"funder_award_id":"PTDC/MAT-STA/28812/2017","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8169104161","display_name":null,"funder_award_id":"UIDB/04561/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W174612576","https://openalex.org/W1430512513","https://openalex.org/W1522579744","https://openalex.org/W1533415759","https://openalex.org/W1585160083","https://openalex.org/W1781889465","https://openalex.org/W1930635754","https://openalex.org/W1966662421","https://openalex.org/W1968548276","https://openalex.org/W1985506636","https://openalex.org/W1986660281","https://openalex.org/W1990324448","https://openalex.org/W1992754604","https://openalex.org/W1998824578","https://openalex.org/W2005439504","https://openalex.org/W2012405657","https://openalex.org/W2048623669","https://openalex.org/W2054723044","https://openalex.org/W2058380015","https://openalex.org/W2066958059","https://openalex.org/W2071048859","https://openalex.org/W2085728653","https://openalex.org/W2101379442","https://openalex.org/W2127674094","https://openalex.org/W2131837567","https://openalex.org/W2153587490","https://openalex.org/W2164487423","https://openalex.org/W2326574757","https://openalex.org/W2332905493","https://openalex.org/W2519388618","https://openalex.org/W2783709442","https://openalex.org/W2963148109","https://openalex.org/W2963728026","https://openalex.org/W2963885372","https://openalex.org/W2964142175","https://openalex.org/W2964157532","https://openalex.org/W2970570518","https://openalex.org/W2981089438","https://openalex.org/W3102850966","https://openalex.org/W3114114809","https://openalex.org/W3116316308","https://openalex.org/W3126860757","https://openalex.org/W3158101449","https://openalex.org/W4255839052","https://openalex.org/W4292198165","https://openalex.org/W4396738227"],"related_works":["https://openalex.org/W3160767070","https://openalex.org/W4287182230","https://openalex.org/W2006049789","https://openalex.org/W3016437193","https://openalex.org/W2582131341","https://openalex.org/W4309841465","https://openalex.org/W3095193354","https://openalex.org/W4302401116","https://openalex.org/W2339291042","https://openalex.org/W4387963920"],"abstract_inverted_index":{".In":[0],"this":[1],"paper":[2],"we":[3,62,114],"establish":[4],"a":[5,51],"rigorous":[6],"gradient":[7,80,102],"flow":[8,81],"structure":[9],"for":[10],"one-dimensional":[11],"Kimura":[12],"equations":[13],"with":[14],"respect":[15],"to":[16,32,36],"some":[17,107],"Wasserstein\u2013Shahshahani":[18],"optimal":[19],"transport":[20],"geometry.":[21],"This":[22],"is":[23,88],"achieved":[24],"by":[25],"first":[26],"conditioning":[27],"the":[28,42,47,64,79,91,110,124],"underlying":[29],"stochastic":[30],"process":[31],"nonfixation":[33],"in":[34,67],"order":[35],"get":[37],"rid":[38],"of":[39,57,100,109],"singularities":[40],"on":[41,90,106],"boundaries,":[43],"and":[44,54,95,119],"then":[45],"studying":[46],"conditioned":[48],"\\(Q\\)-process":[49],"from":[50],"more":[52],"traditional":[53],"variational":[55,97],"point":[56],"view.":[58],"In":[59],"doing":[60],"so":[61],"complete":[63],"work":[65],"initiated":[66],"[Chalub":[68],"et":[69],"al.,":[70],"Acta":[71],"Appl.":[72],"Math.,":[73],"171":[74],"(2021),":[75],"pp.":[76],"1\u201350],":[77],"where":[78],"was":[82],"identified":[83],"only":[84],"formally.":[85],"The":[86],"approach":[87],"based":[89],"energy":[92],"dissipation":[93],"inequality":[94,98],"evolution":[96],"notions":[99],"metric":[101],"flows.":[103],"Building":[104],"up":[105],"convexity":[108],"driving":[111],"entropy":[112],"functional,":[113],"obtain":[115],"new":[116],"contraction":[117],"estimates":[118],"quantitative":[120],"long-time":[121],"convergence":[122],"towards":[123],"stationary":[125],"distribution.KeywordsKimura":[126],"equationgradient":[127],"flow\\(Q\\)-processoptimal":[128],"transportentropyMSC":[129],"codes35K1560J2592D2535Q92":[130]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
