{"id":"https://openalex.org/W3015874284","doi":"https://doi.org/10.1137/21m1392553","title":"Plasma Echoes Near Stable Penrose Data","display_name":"Plasma Echoes Near Stable Penrose Data","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W3015874284","doi":"https://doi.org/10.1137/21m1392553","mag":"3015874284"},"language":"en","primary_location":{"id":"doi:10.1137/21m1392553","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1392553","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.05984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106429396","display_name":"Emmanuel Grenier","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emmanuel Grenier","raw_affiliation_strings":["Ecole Normale Sup\u00e8rieure de Lyon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e8rieure de Lyon","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026768285","display_name":"Toan T. Nguyen","orcid":"https://orcid.org/0000-0002-0482-6518"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Toan T. Nguyen","raw_affiliation_strings":["Pennsylvania State University"],"raw_orcid":"https://orcid.org/0000-0002-0482-6518","affiliations":[{"raw_affiliation_string":"Pennsylvania State University","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018500576","display_name":"Igor Rodnianski","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Igor Rodnianski","raw_affiliation_strings":["Princeton University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2638,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.57432082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"54","issue":"1","first_page":"940","last_page":"953"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9936000108718872,"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"}},{"id":"https://openalex.org/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.6301400661468506},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.6071398854255676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.604284405708313},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.4657151699066162},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4339353144168854},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.4093727469444275},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3422958254814148},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34140750765800476},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.21899297833442688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11216381192207336},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.057402998208999634}],"concepts":[{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6301400661468506},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.6071398854255676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.604284405708313},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.4657151699066162},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4339353144168854},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4093727469444275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3422958254814148},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34140750765800476},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21899297833442688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11216381192207336},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.057402998208999634},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/21m1392553","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1392553","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:arXiv.org:2004.05984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.05984","pdf_url":"https://arxiv.org/pdf/2004.05984","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/167913","is_oa":true,"landing_page_url":"https://dspace.mit.edu/handle/1721.1/167913","pdf_url":"https://dspace.mit.edu/bitstreams/217b16d6-0457-430a-bcea-77d8c34da831/download","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Society for Industrial & Applied Mathematics (SIAM)","raw_type":"Article"},{"id":"mag:3015874284","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.05984.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.05984","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.05984","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2004.05984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.05984","pdf_url":"https://arxiv.org/pdf/2004.05984","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5856620289","display_name":"The Nonlinear Stability of Black Holes and the Structure of Spacetime Singularities in General Relativity","funder_award_id":"1709270","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8495673275","display_name":"The Inviscid Limit and Large Time Behavior of Fluid Flows","funder_award_id":"1764119","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"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/F4320308427","display_name":"American Mathematical Society","ror":"https://ror.org/05vy1kj95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3015874284.pdf","grobid_xml":"https://content.openalex.org/works/W3015874284.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2006920912","https://openalex.org/W2062793050","https://openalex.org/W2101644050","https://openalex.org/W2396761453","https://openalex.org/W2564599527","https://openalex.org/W2962754122","https://openalex.org/W3098254693"],"related_works":["https://openalex.org/W3043776402","https://openalex.org/W2066410627","https://openalex.org/W245682637","https://openalex.org/W2912845104","https://openalex.org/W2008329646","https://openalex.org/W2034614495","https://openalex.org/W2081032387","https://openalex.org/W2066388439","https://openalex.org/W2337642212","https://openalex.org/W1715386332","https://openalex.org/W794284944","https://openalex.org/W2161021751","https://openalex.org/W2951212322","https://openalex.org/W2411700382","https://openalex.org/W2084501084","https://openalex.org/W920604723","https://openalex.org/W2945619124","https://openalex.org/W2617709294","https://openalex.org/W2771648509","https://openalex.org/W1601897500"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"construct":[4],"particular":[5],"solutions":[6,52],"to":[7,39,56],"the":[8,57],"classical":[9],"Vlasov-Poisson":[10],"system":[11],"near":[12],"stable":[13],"Penrose":[14],"initial":[15],"data":[16],"on":[17],"$\\mathbb{T}":[18],"\\times":[19],"\\mathbb{R}$":[20],"that":[21],"are":[22],"a":[23],"combination":[24],"of":[25,43,45],"elementary":[26],"waves":[27,33],"with":[28],"arbitrarily":[29],"high":[30],"frequencies.":[31],"These":[32],"mutually":[34],"interact":[35],"giving":[36],"birth,":[37],"eventually,":[38],"an":[40],"infinite":[41],"cascade":[42],"echoes":[44],"smaller":[46,48],"and":[47,65],"amplitude.":[49],"The":[50],"echo":[51],"do":[53],"not":[54],"belong":[55],"analytic":[58],"or":[59],"Gevrey":[60],"classes":[61],"studied":[62],"by":[63],"Mouhot":[64],"Villani,":[66],"but":[67],"do,":[68],"nonetheless,":[69],"exhibit":[70],"damping":[71],"phenomena":[72],"for":[73],"large":[74],"times.":[75]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
