{"id":"https://openalex.org/W1567043824","doi":"https://doi.org/10.1137/15m1009445","title":"Interplay of Boltzmann Equation and Continuity Equation for Accelerated Electrons in Solar Flares","display_name":"Interplay of Boltzmann Equation and Continuity Equation for Accelerated Electrons in Solar Flares","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1567043824","doi":"https://doi.org/10.1137/15m1009445","mag":"1567043824"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1009445","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1502.04534","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059035310","display_name":"Anna Codispoti","orcid":null},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Codispoti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Genova, via Dodecaneso, 35 I-16146 Genova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Genova, via Dodecaneso, 35 I-16146 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035007667","display_name":"Nicola Pinamonti","orcid":"https://orcid.org/0000-0002-6752-9799"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]},{"id":"https://openalex.org/I4210125647","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Genova","ror":"https://ror.org/02v89pq06","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210125647","https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"N. Pinamonti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Genova, via Dodecaneso, 35 I-16146 Genova, Italy","INFN, Sezione di Genova, Via Dodecaneso, 33 I-16146 Genova, Italy."],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Genova, via Dodecaneso, 35 I-16146 Genova, Italy","institution_ids":["https://openalex.org/I83816512"]},{"raw_affiliation_string":"INFN, Sezione di Genova, Via Dodecaneso, 33 I-16146 Genova, Italy.","institution_ids":["https://openalex.org/I4210125647"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":66},"biblio":{"volume":"76","issue":"4","first_page":"1250","last_page":"1269"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":1.0,"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":1.0,"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/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":0.9864,"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/T11276","display_name":"Solar Radiation and Photovoltaics","score":0.9827,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8183408},{"id":"https://openalex.org/C165995430","wikidata":"https://www.wikidata.org/wiki/Q891653","display_name":"Boltzmann equation","level":2,"score":0.73172164},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.62834793},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.50970244},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.49801898},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.45838872},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.4209622},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30333143},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14429104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13122377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1009445","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1502.04534","pdf_url":"https://arxiv.org/pdf/1502.04534","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1502.04534","pdf_url":"https://arxiv.org/pdf/1502.04534","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"score":0.88,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":52,"referenced_works":["https://openalex.org/W1507939396","https://openalex.org/W1529728953","https://openalex.org/W1574798849","https://openalex.org/W1599416060","https://openalex.org/W1599841755","https://openalex.org/W1626816679","https://openalex.org/W1631071942","https://openalex.org/W1660416739","https://openalex.org/W1675724883","https://openalex.org/W1971899810","https://openalex.org/W1979489556","https://openalex.org/W1979921650","https://openalex.org/W1980647537","https://openalex.org/W1989465898","https://openalex.org/W1993618814","https://openalex.org/W1995295970","https://openalex.org/W2000381089","https://openalex.org/W2016326085","https://openalex.org/W2024060531","https://openalex.org/W2032536311","https://openalex.org/W2034895394","https://openalex.org/W2037248950","https://openalex.org/W2039481916","https://openalex.org/W2043665863","https://openalex.org/W2045687864","https://openalex.org/W2058359404","https://openalex.org/W2062484908","https://openalex.org/W2065357833","https://openalex.org/W2066588103","https://openalex.org/W2069319053","https://openalex.org/W2070139260","https://openalex.org/W2072324533","https://openalex.org/W2078270647","https://openalex.org/W2082024929","https://openalex.org/W2087394778","https://openalex.org/W2106218922","https://openalex.org/W2110462445","https://openalex.org/W2125291182","https://openalex.org/W2127325878","https://openalex.org/W2132365451","https://openalex.org/W2144869315","https://openalex.org/W2169770441","https://openalex.org/W2171747316","https://openalex.org/W2320598521","https://openalex.org/W2462637085","https://openalex.org/W3101399581","https://openalex.org/W3102949890","https://openalex.org/W3104929757","https://openalex.org/W3105455279","https://openalex.org/W3105464109","https://openalex.org/W3125844557","https://openalex.org/W3173030512"],"related_works":["https://openalex.org/W4388044880","https://openalex.org/W2992409218","https://openalex.org/W2316454864","https://openalex.org/W2064571445","https://openalex.org/W2044768923","https://openalex.org/W2043785977","https://openalex.org/W2035936743","https://openalex.org/W1560238365","https://openalex.org/W155192864","https://openalex.org/W1494630543"],"abstract_inverted_index":{"During":[0],"solar":[1,16,62],"flares":[2],"a":[3,81,137,152,204,219],"large":[4],"number":[5],"of":[6,20,23,32,45,53,68,89,115,160,184,222],"electrons":[7,25,54],"are":[8],"accelerated":[9,55],"within":[10],"the":[11,15,21,30,42,46,57,66,99,113,123,127,146,157,161,168,173,181,185,187,198,223],"plasma":[12],"present":[13],"in":[14,65,112,119,126,136,156,165,203],"atmosphere.":[17],"Accurate":[18],"measurements":[19,234],"motion":[22],"these":[24],"start":[26],"becoming":[27],"available":[28],"from":[29],"analysis":[31],"hard":[33,214],"X-ray":[34,215],"imaging-spectroscopy":[35,216],"observations.":[36],"In":[37,180],"this":[38,166],"paper,":[39],"we":[40],"discuss":[41],"linearized":[43,128],"perturbations":[44],"Boltzmann":[47,129],"kinetic":[48],"equation":[49,78,83,130,175,190],"describing":[50],"an":[51,77,86],"ensemble":[52],"by":[56,98,172,213],"energy":[58,70,102],"release":[59],"occurring":[60],"during":[61],"flares.":[63],"Either":[64],"limit":[67,114],"high":[69],"or":[71],"at":[72],"vanishing":[73,116],"background":[74,147],"temperature":[75,148],"such":[76],"reduces":[79],"to":[80,106,121,133,207],"continuity":[82,174,189],"equipped":[84],"with":[85,109,193,210,225],"extra":[87],"force":[88,94],"stochastic":[90,93],"nature.":[91],"This":[92],"is":[95,149,176,191,201,235],"actually":[96],"described":[97],"well":[100],"known":[101],"loss":[103],"rate":[104],"due":[105],"Coulomb":[107],"collision":[108,124,162],"ambient":[110],"particles":[111],"temperature,":[117],"but,":[118],"order":[120],"match":[122],"kernel":[125,163],"it":[131],"needs":[132],"be":[134,208],"treated":[135],"very":[138],"specific":[139],"manner.":[140],"We":[141],"furthermore":[142],"show":[143],"that":[144],"when":[145],"not":[150,177],"negligible":[151],"diffusive":[153],"term":[154],"appears":[155],"asymptotic":[158],"expansion":[159],"and,":[164],"regime,":[167],"approximated":[169],"dynamics":[170],"furnished":[171],"anymore":[178],"reliable.":[179],"second":[182],"part":[183],"paper":[186],"derived":[188],"solved":[192],"some":[194],"hyperbolic":[195],"techniques,":[196],"and":[197],"obtained":[199],"solution":[200],"written":[202],"form":[205],"suitable":[206],"compared":[209],"data":[211],"gathered":[212],"telescopes.":[217],"Finally,":[218],"first":[220],"validation":[221],"model":[224],"NASA":[226],"Reuven":[227],"Ramaty":[228],"High":[229],"Energy":[230],"Solar":[231],"Spectroscopic":[232],"Imager":[233],"provided.":[236]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1567043824","counts_by_year":[],"updated_date":"2024-12-07T18:40:52.590451","created_date":"2016-06-24"}