{"id":"https://openalex.org/W4388295146","doi":"https://doi.org/10.1137/22m1540971","title":"Effective Fronts of Polygon Shapes in Two Dimensions","display_name":"Effective Fronts of Polygon Shapes in Two Dimensions","publication_year":2023,"publication_date":"2023-11-03","ids":{"openalex":"https://openalex.org/W4388295146","doi":"https://doi.org/10.1137/22m1540971"},"language":"en","primary_location":{"id":"doi:10.1137/22m1540971","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1540971","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/A5084054664","display_name":"Wenjia Jing","orcid":"https://orcid.org/0000-0001-8860-6880"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenjia Jing","raw_affiliation_strings":["Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing, 100084, China"],"affiliations":[{"raw_affiliation_string":"Yau Mathematical Sciences Center, Tsinghua University, No.1 Tsinghua Yuan, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078512465","display_name":"Hung V. Tran","orcid":"https://orcid.org/0000-0002-9244-3823"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hung V. Tran","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin Madison, Madison, WI 53706 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin Madison, Madison, WI 53706 USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102079619","display_name":"Yifeng Yu","orcid":"https://orcid.org/0000-0002-3860-2803"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yifeng Yu","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, CA 92697 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA 92697 USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084054664"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.3049,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64478525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"55","issue":"6","first_page":"6764","last_page":"6777"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9954000115394592,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9713000059127808,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/front","display_name":"Front (military)","score":0.8518569469451904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.773127555847168},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7404231429100037},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5621290802955627},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4424012303352356},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40266621112823486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3748486042022705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10939493775367737},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07285568118095398}],"concepts":[{"id":"https://openalex.org/C2777551076","wikidata":"https://www.wikidata.org/wiki/Q842332","display_name":"Front (military)","level":2,"score":0.8518569469451904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.773127555847168},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7404231429100037},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5621290802955627},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4424012303352356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40266621112823486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3748486042022705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10939493775367737},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07285568118095398},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1540971","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1540971","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G3981667985","display_name":null,"funder_award_id":"DMS-2000191","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5812500744","display_name":null,"funder_award_id":"DMS-1843320","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6085333457","display_name":null,"funder_award_id":"11871300","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1855169650","https://openalex.org/W1964515050","https://openalex.org/W1985848326","https://openalex.org/W1986639240","https://openalex.org/W1993988996","https://openalex.org/W2011698236","https://openalex.org/W2026270448","https://openalex.org/W2032927358","https://openalex.org/W2077293866","https://openalex.org/W2156610674","https://openalex.org/W2244015518","https://openalex.org/W2276007685","https://openalex.org/W2332073907","https://openalex.org/W2963224073","https://openalex.org/W3100484035","https://openalex.org/W3203531525","https://openalex.org/W4247286895","https://openalex.org/W4252612660"],"related_works":["https://openalex.org/W4210368779","https://openalex.org/W4232652765","https://openalex.org/W4380153838","https://openalex.org/W2383204375","https://openalex.org/W2154141401","https://openalex.org/W1585992543","https://openalex.org/W2053943947","https://openalex.org/W2215744270","https://openalex.org/W2358432504","https://openalex.org/W2314484939"],"abstract_inverted_index":{".We":[0],"study":[1],"the":[2,15,29,67,113,134,141],"effective":[3,51,114,146],"fronts":[4,52,147],"of":[5,31,69,136],"first":[6,142],"order":[7],"front":[8,54,88,111,115,128],"propagations":[9],"in":[10,14,40,56,66,76,90,151],"two":[11,152],"dimensions":[12],"(\\(n=2\\))":[13],"periodic":[16,74],"setting.":[17],"Using":[18],"PDE-based":[19],"approaches,":[20],"we":[21],"show":[22],"that":[23,144],"for":[24,53,87,107],"every":[25],"\\(\\alpha":[26],"\\in":[27,42],"(0,1)\\),":[28],"class":[30],"centrally":[32],"symmetric":[33,157],"polygons":[34],"with":[35],"rational":[36],"vertices":[37],"(i.e.,":[38],"vectors":[39],"\\(\\bigcup_{\\lambda":[41],"\\mathbb{R}}\\lambda":[43],"\\mathbb{Z}^2\\))":[44],"and":[45,118],"nonempty":[46],"interior":[47],"is":[48,97,116,140],"admissible":[49],"as":[50],"speeds":[55,89,129],"\\(C^{1,\\alpha":[57],"}(\\mathbb{T}^2,(0,\\infty":[58],"))\\).":[59,93],"This":[60],"result":[61],"can":[62],"also":[63],"be":[64,121],"formulated":[65],"language":[68],"stable":[70],"norms":[71],"corresponding":[72],"to":[73,102],"metrics":[75],"\\(\\mathbb{T}^2\\).":[77],"Similar":[78],"results":[79],"were":[80],"known":[81],"long":[82],"ago":[83],"when":[84],"\\(n\\geq":[85],"3\\)":[86],"\\(C^{\\infty":[91],"}(\\mathbb{T}^n,(0,\\infty":[92],"The":[94],"two-dimensional":[95],"case":[96],"much":[98],"more":[99],"subtle":[100],"due":[101],"topological":[103],"restrictions.":[104],"In":[105],"fact,":[106],"given":[108],"\\(C^{1,1}(\\mathbb{T}^2,(0,\\infty":[109],"))\\)":[110],"speeds,":[112],"\\(C^1\\)":[117],"hence":[119,131],"cannot":[120],"a":[122],"polygon.":[123],"Our":[124],"regularity":[125],"requirements":[126],"on":[127],"are":[130],"optimal.":[132],"To":[133],"best":[135],"our":[137],"knowledge,":[138],"this":[139],"time":[143],"polygonal":[145],"have":[148],"been":[149],"constructed":[150],"dimensions.Keywordshomogenizationfront":[153],"propagationeffective":[154],"Hamiltonianeffective":[155],"frontscentrally":[156],"polygonsstable":[158],"normlimit":[159],"shapeMSC":[160],"codes35B4037J5149L25":[161]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}