{"id":"https://openalex.org/W2962735972","doi":"https://doi.org/10.1137/15m1050203","title":"The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II","display_name":"The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2962735972","doi":"https://doi.org/10.1137/15m1050203","mag":"2962735972"},"language":"en","primary_location":{"id":"doi:10.1137/15m1050203","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1050203","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/A5016197865","display_name":"Jean\u2010Claude Saut","orcid":"https://orcid.org/0000-0002-5597-4318"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Saut","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","School of Mathematical Sciences, Peking University, Beijing 100871,China","LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210155549","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing 100871,China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100773459","display_name":"Chao Wang","orcid":"https://orcid.org/0000-0002-6357-3661"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Chao Wang","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","School of Mathematical Sciences, Peking University, Beijing 100871,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210155549","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing 100871,China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074032723","display_name":"Li Xu","orcid":"https://orcid.org/0000-0002-9468-7629"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"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"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Li Xu","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","School of Mathematical Sciences, Peking University, Beijing 100871,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, UMR 8628, Universit\u00e9 Paris-Sud et CNRS, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210155549","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, CAS, Beijing 100190, China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Mathematical Sciences, Peking University, Beijing 100871,China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8703,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.98353711,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"49","issue":"4","first_page":"2321","last_page":"2386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998999834060669,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.9957000017166138,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9884999990463257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7669808864593506},{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.7298128604888916},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5981173515319824},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5807196497917175},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.580385684967041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5619232058525085},{"id":"https://openalex.org/keywords/boussinesq-approximation","display_name":"Boussinesq approximation (buoyancy)","score":0.5384940505027771},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5268080234527588},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5249778628349304},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.44222456216812134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34265726804733276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16918310523033142},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1569216251373291},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09100618958473206},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08713650703430176}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7669808864593506},{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.7298128604888916},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5981173515319824},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5807196497917175},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.580385684967041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5619232058525085},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.5384940505027771},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5268080234527588},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5249778628349304},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.44222456216812134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34265726804733276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16918310523033142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1569216251373291},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09100618958473206},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08713650703430176},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1050203","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1050203","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":"Clean water and sanitation","score":0.75,"id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G5688834809","display_name":null,"funder_award_id":"11201455","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/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336876","display_name":"National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences","ror":"https://ror.org/00s97k668"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1513534435","https://openalex.org/W1520185622","https://openalex.org/W1572756661","https://openalex.org/W1632757846","https://openalex.org/W1732800735","https://openalex.org/W1969244804","https://openalex.org/W1971193413","https://openalex.org/W1982437178","https://openalex.org/W1988941609","https://openalex.org/W1990134138","https://openalex.org/W1992150641","https://openalex.org/W1993235715","https://openalex.org/W2012324695","https://openalex.org/W2016254745","https://openalex.org/W2018856439","https://openalex.org/W2020791061","https://openalex.org/W2040066527","https://openalex.org/W2047689815","https://openalex.org/W2058512498","https://openalex.org/W2071742362","https://openalex.org/W2072415602","https://openalex.org/W2096483912","https://openalex.org/W2099392098","https://openalex.org/W2102961728","https://openalex.org/W2106529573","https://openalex.org/W2107721397","https://openalex.org/W2119120723","https://openalex.org/W2128948001","https://openalex.org/W2137598555","https://openalex.org/W2140850292","https://openalex.org/W2141172861","https://openalex.org/W2143167560","https://openalex.org/W2147782618","https://openalex.org/W2150387084","https://openalex.org/W3101050535","https://openalex.org/W4211218773","https://openalex.org/W4247301332","https://openalex.org/W4299390598"],"related_works":["https://openalex.org/W2400581667","https://openalex.org/W4213342640","https://openalex.org/W2049761058","https://openalex.org/W2345019225","https://openalex.org/W2078366360","https://openalex.org/W1993693184","https://openalex.org/W2394174381","https://openalex.org/W1796628725","https://openalex.org/W2047706042","https://openalex.org/W2288260537"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"a":[3,6,61,67],"continuation":[4],"of":[5,11,38],"previous":[7],"work":[8],"by":[9],"two":[10],"the":[12,36,52],"authors":[13],"[J.-C.":[14],"Saut":[15],"and":[16,54],"Li":[17],"Xu,":[18],"J.":[19],"Math.":[20],"Pures":[21],"Appl.":[22],"(9),":[23],"97":[24],"(2012),":[25],"pp.":[26],"635--662.]":[27],"on":[28,47],"long":[29,62],"time":[30,63],"existence":[31],"for":[32,66],"Boussinesq":[33,71],"systems":[34],"modeling":[35],"propagation":[37],"long,":[39],"weakly":[40],"nonlinear":[41],"water":[42],"waves.":[43],"We":[44],"provide":[45],"proofs":[46],"examples":[48],"not":[49],"considered":[50],"in":[51,57],"Sant":[53],"Xu":[55],"paper;":[56],"particular,":[58],"we":[59],"prove":[60],"well-posedness":[64],"result":[65],"delicate":[68],"\u201cstrongly":[69],"dispersive\u201d":[70],"system.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-23T13:55:30.953635","created_date":"2025-10-10T00:00:00"}
