{"id":"https://openalex.org/W4400213318","doi":"https://doi.org/10.1137/23m1603431","title":"Wave Breaking for the Generalized Fornberg\u2013Whitham Equation","display_name":"Wave Breaking for the Generalized Fornberg\u2013Whitham Equation","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400213318","doi":"https://doi.org/10.1137/23m1603431"},"language":"en","primary_location":{"id":"doi:10.1137/23m1603431","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1603431","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/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Jean-Claude Saut","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de Math\u00e9matiques d\u2019Orsay, 91405 Orsay, France","School of Mathematics and Statistics, Lanzhou University, 730000 Lanzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS, Laboratoire de Math\u00e9matiques d\u2019Orsay, 91405 Orsay, France","institution_ids":["https://openalex.org/I3019441195","https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, 730000 Lanzhou, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101246809","display_name":"Shihan Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihan Sun","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014275276","display_name":"Yuexun Wang","orcid":"https://orcid.org/0000-0001-8474-8232"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuexun Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100388117","display_name":"Yi Zhang","orcid":"https://orcid.org/0000-0002-1600-7456"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016197865"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195","https://openalex.org/I76214153"],"apc_list":null,"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52439899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"56","issue":"4","first_page":"4440","last_page":"4465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":1.0,"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/T11575","display_name":"Nonlinear Photonic Systems","score":0.9995999932289124,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7795060873031616},{"id":"https://openalex.org/keywords/breaking-wave","display_name":"Breaking wave","score":0.6462119221687317},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5948983430862427},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5219913721084595},{"id":"https://openalex.org/keywords/wave-propagation","display_name":"Wave propagation","score":0.22904664278030396},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10258865356445312}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7795060873031616},{"id":"https://openalex.org/C169596890","wikidata":"https://www.wikidata.org/wiki/Q661247","display_name":"Breaking wave","level":3,"score":0.6462119221687317},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5948983430862427},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5219913721084595},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.22904664278030396},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10258865356445312},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1603431","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1603431","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":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G5938743861","display_name":null,"funder_award_id":"ISAAC AAPG2023","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W305332711","https://openalex.org/W619315975","https://openalex.org/W1480253648","https://openalex.org/W1551335708","https://openalex.org/W1969244804","https://openalex.org/W1997858196","https://openalex.org/W2018193898","https://openalex.org/W2026031976","https://openalex.org/W2046765416","https://openalex.org/W2055623556","https://openalex.org/W2056808786","https://openalex.org/W2074148845","https://openalex.org/W2084217855","https://openalex.org/W2150387084","https://openalex.org/W2159514670","https://openalex.org/W2162493479","https://openalex.org/W2511168153","https://openalex.org/W2728871988","https://openalex.org/W2753242640","https://openalex.org/W2787872600","https://openalex.org/W2963215404","https://openalex.org/W2963765585","https://openalex.org/W2964168892","https://openalex.org/W2970070367","https://openalex.org/W3010747882","https://openalex.org/W3033192292","https://openalex.org/W3033778999","https://openalex.org/W3038417281","https://openalex.org/W3097686290","https://openalex.org/W3099454730","https://openalex.org/W3117931982","https://openalex.org/W3179552273","https://openalex.org/W3202834421","https://openalex.org/W4236358907","https://openalex.org/W4296960863","https://openalex.org/W4393682062","https://openalex.org/W4399178396"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2366878012","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2367181040","https://openalex.org/W2081786508","https://openalex.org/W4221141490","https://openalex.org/W4226186576","https://openalex.org/W1975505774","https://openalex.org/W2002089339"],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"to":[3],"show":[4],"that":[5],"the":[6,10,19,24,40,44],"Cauchy":[7],"problem":[8],"of":[9,23,43],"Burgers":[11],"equation":[12],"with":[13,34],"a":[14],"weakly":[15],"dispersive":[16,41],"perturbation":[17],"involving":[18],"Bessel":[20],"potential":[21],"(generalization":[22],"Fornberg-Whitham":[25],"equation)":[26],"can":[27],"exhibit":[28],"wave":[29],"breaking":[30],"for":[31],"initial":[32],"data":[33],"large":[35],"slope.We":[36],"also":[37],"comment":[38],"on":[39],"properties":[42],"equation.":[45]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
