{"id":"https://openalex.org/W2273370088","doi":"https://doi.org/10.1007/978-3-662-45504-3_9","title":"Exponential Convergence to Equilibrium for\u00a0Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry","display_name":"Exponential Convergence to Equilibrium for\u00a0Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2273370088","doi":"https://doi.org/10.1007/978-3-662-45504-3_9","mag":"2273370088"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-45504-3_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-45504-3_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01286402","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109943043","display_name":"Laurent Desvillettes","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Desvillettes","raw_affiliation_strings":["CMLA, ENS Cachan and CNRS, PRES UniverSud, 61, Avenue du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMLA, ENS Cachan and CNRS, PRES UniverSud, 61, Avenue du Pr\u00e9sident Wilson, 94235, Cachan Cedex, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040414255","display_name":"Klemens Fellner","orcid":"https://orcid.org/0000-0001-9906-8977"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]},{"id":"https://openalex.org/I4210108044","display_name":"Nawi Graz","ror":"https://ror.org/01mm16571","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210108044"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Klemens Fellner","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, NAWI Graz Heinrichstr. 36, 8010, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, NAWI Graz Heinrichstr. 36, 8010, Graz, Austria","institution_ids":["https://openalex.org/I15766117","https://openalex.org/I4210108044"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040414255"],"corresponding_institution_ids":["https://openalex.org/I15766117","https://openalex.org/I4210108044"],"apc_list":null,"apc_paid":null,"fwci":6.8096,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.97982346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"96","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9986000061035156,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6602261066436768},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5887596011161804},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5880006551742554},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5473452210426331},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5429241061210632},{"id":"https://openalex.org/keywords/entropy-production","display_name":"Entropy production","score":0.5194323062896729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5136660933494568},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.4801737368106842},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4688709080219269},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4667634665966034},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.44056564569473267},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42952588200569153},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.4057706296443939},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2807005047798157},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23411086201667786},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11747997999191284},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09996691346168518}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6602261066436768},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5887596011161804},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5880006551742554},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5473452210426331},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5429241061210632},{"id":"https://openalex.org/C207282930","wikidata":"https://www.wikidata.org/wiki/Q5380811","display_name":"Entropy production","level":2,"score":0.5194323062896729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5136660933494568},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.4801737368106842},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4688709080219269},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4667634665966034},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.44056564569473267},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42952588200569153},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.4057706296443939},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2807005047798157},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23411086201667786},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11747997999191284},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09996691346168518},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-662-45504-3_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-45504-3_9","pdf_url":null,"source":{"id":"https://openalex.org/S4210185096","display_name":"IFIP advances in information and communication technology","issn_l":"1868-422X","issn":["1868-422X","1868-4238"],"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":"IFIP Advances in Information and Communication Technology","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.712.4355","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.712.4355","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.uni-graz.at/%7Efellnerk/preprints/DFIFIP.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01286402v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01286402","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. pp.96-104, ⟨10.1007/978-3-662-45504-3_9⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01286402v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01286402","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. pp.96-104, ⟨10.1007/978-3-662-45504-3_9⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W83924355","https://openalex.org/W137958209","https://openalex.org/W620684465","https://openalex.org/W1973084363","https://openalex.org/W1974932891","https://openalex.org/W1999802587","https://openalex.org/W2006648981","https://openalex.org/W2018205544","https://openalex.org/W2043681189","https://openalex.org/W2064389898","https://openalex.org/W2069664970","https://openalex.org/W2071039916","https://openalex.org/W2077070574","https://openalex.org/W2085605680","https://openalex.org/W2086766830","https://openalex.org/W2094528868","https://openalex.org/W2151539483","https://openalex.org/W2154252130","https://openalex.org/W2491506190","https://openalex.org/W2505168338","https://openalex.org/W2515579525","https://openalex.org/W3038470872","https://openalex.org/W3098041300"],"related_works":["https://openalex.org/W2347486132","https://openalex.org/W2316789606","https://openalex.org/W2350340797","https://openalex.org/W4293224283","https://openalex.org/W4321175082","https://openalex.org/W4387141262","https://openalex.org/W3188852317","https://openalex.org/W3042022377","https://openalex.org/W2024654730","https://openalex.org/W2176097298"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}