{"id":"https://openalex.org/W2174317416","doi":"https://doi.org/10.1137/15m1015182","title":"A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary","display_name":"A New Derivation of Robin Boundary Conditions through Homogenization of a Stochastically Switching Boundary","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2174317416","doi":"https://doi.org/10.1137/15m1015182","mag":"2174317416"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1015182","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5001461789","display_name":"Sean D. Lawley","orcid":"https://orcid.org/0000-0003-2208-026X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sean D. Lawley","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5071828704","display_name":"James P. Keener","orcid":"https://orcid.org/0000-0001-9216-4157"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"James P. Keener","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.542,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":40,"citation_normalized_percentile":{"value":0.940426,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"14","issue":"4","first_page":"1845","last_page":"1867"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9934,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9914,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization","score":0.6801537},{"id":"https://openalex.org/keywords/poincar\u00e9\u2013steklov-operator","display_name":"Poincar\u00e9\u2013Steklov operator","score":0.4900116}],"concepts":[{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.858991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7690847},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.74325883},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.7431625},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.69536006},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.6801537},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.6711031},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.6594621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.58218044},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5732072},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49798846},{"id":"https://openalex.org/C65826597","wikidata":"https://www.wikidata.org/wiki/Q17099589","display_name":"Poincar\u00e9\u2013Steklov operator","level":5,"score":0.4900116},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.47613314},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.4736477},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.4485907},{"id":"https://openalex.org/C16304620","wikidata":"https://www.wikidata.org/wiki/Q1396948","display_name":"No-slip condition","level":4,"score":0.4275795},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11329365},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1015182","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":25,"referenced_works":["https://openalex.org/W1978257081","https://openalex.org/W1990664873","https://openalex.org/W2010518570","https://openalex.org/W2019353377","https://openalex.org/W2024817849","https://openalex.org/W2030162988","https://openalex.org/W2046933804","https://openalex.org/W2053955395","https://openalex.org/W2062656747","https://openalex.org/W2064759971","https://openalex.org/W2066558878","https://openalex.org/W2072819769","https://openalex.org/W2073697259","https://openalex.org/W2081316063","https://openalex.org/W2082320526","https://openalex.org/W2086726882","https://openalex.org/W2090727412","https://openalex.org/W2104269878","https://openalex.org/W2146908507","https://openalex.org/W2185008106","https://openalex.org/W2277080394","https://openalex.org/W2303966570","https://openalex.org/W2595320844","https://openalex.org/W3103472687","https://openalex.org/W4297809567"],"related_works":["https://openalex.org/W4322770021","https://openalex.org/W4246256881","https://openalex.org/W2393913967","https://openalex.org/W2378263446","https://openalex.org/W2365193650","https://openalex.org/W2174317416","https://openalex.org/W2100405323","https://openalex.org/W1603012708","https://openalex.org/W1548901099","https://openalex.org/W1514481392"],"abstract_inverted_index":{"We":[0,45,92],"give":[1],"a":[2,22,32,39,42,77,95,110,134],"new":[3],"derivation":[4],"of":[5,51,59,73,117],"Robin":[6,23,78],"boundary":[7,24,33,131],"conditions":[8,12],"and":[9,41],"interface":[10,101],"jump":[11,102],"for":[13,133],"the":[14,28,49,57,63,71,74,85,106,115,118,128],"diffusion":[15,29,107],"equation":[16,30,108],"in":[17,48,62,114],"one":[18],"dimension.":[19],"To":[20],"derive":[21,99],"condition,":[25,79],"we":[26],"consider":[27],"with":[31,56,80,109],"condition":[34,103,113,132],"that":[35,120],"randomly":[36,122,135],"switches":[37],"between":[38],"Dirichlet":[40,64],"Neumann":[43],"condition.":[44],"prove":[46],"that,":[47],"limit":[50],"infinitely":[52],"fast":[53],"switching":[54,136],"rate":[55,86],"proportion":[58],"time":[60],"spent":[61],"state,":[65],"denoted":[66],"by":[67,84,104],"$\\rho$,":[68],"approaching":[69],"zero,":[70],"mean":[72],"solution":[75],"satisfies":[76],"conductivity":[81],"parameter":[82],"determined":[83],"at":[87],"which":[88],"$\\rho$":[89],"approaches":[90],"zero.":[91],"carry":[93],"out":[94],"similar":[96],"procedure":[97],"to":[98],"an":[100],"considering":[105],"no":[111],"flux":[112],"interior":[116],"domain":[119],"is":[121],"imposed/removed.":[123],"Our":[124],"results":[125],"also":[126],"provide":[127],"effective":[129],"deterministic":[130],"boundary.":[137]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2174317416","counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4}],"updated_date":"2025-01-02T10:24:57.398916","created_date":"2016-06-24"}