{"id":"https://openalex.org/W2061310986","doi":"https://doi.org/10.1137/s0036139995285765","title":"On the Modulational Instability of O(1) Amplitude Waves in Supersonic Boundary Layers","display_name":"On the Modulational Instability of O(1) Amplitude Waves in Supersonic Boundary Layers","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W2061310986","doi":"https://doi.org/10.1137/s0036139995285765","mag":"2061310986"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139995285765","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995285765","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5022278914","display_name":"Demetrios T. Papageorgiou","orcid":"https://orcid.org/0000-0002-4596-0107"},"institutions":[{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Demetrios T. Papageorgiou","raw_affiliation_strings":["New Jersey Inst. of Tech. Newark, NJ United States"],"affiliations":[{"raw_affiliation_string":"New Jersey Inst. of Tech. Newark, NJ United States","institution_ids":["https://openalex.org/I118118575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081825550","display_name":"Philip Hall","orcid":"https://orcid.org/0000-0001-5175-3115"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Philip Hall","raw_affiliation_strings":["Manchester University United Kingdom"],"affiliations":[{"raw_affiliation_string":"Manchester University United Kingdom","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022278914"],"corresponding_institution_ids":["https://openalex.org/I118118575"],"apc_list":null,"apc_paid":null,"fwci":0.555,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66572558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"4","first_page":"929","last_page":"958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9991000294685364,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/supersonic-speed","display_name":"Supersonic speed","score":0.7049860954284668},{"id":"https://openalex.org/keywords/modulational-instability","display_name":"Modulational instability","score":0.6046013832092285},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6042461395263672},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5976150035858154},{"id":"https://openalex.org/keywords/mach-number","display_name":"Mach number","score":0.5879671573638916},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5230606198310852},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.5021049976348877},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.47338998317718506},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.47313252091407776},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4356738328933716},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.41000354290008545},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3201737403869629},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3061371445655823},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20379480719566345},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11451348662376404}],"concepts":[{"id":"https://openalex.org/C205991772","wikidata":"https://www.wikidata.org/wiki/Q221337","display_name":"Supersonic speed","level":2,"score":0.7049860954284668},{"id":"https://openalex.org/C125755039","wikidata":"https://www.wikidata.org/wiki/Q17104082","display_name":"Modulational instability","level":3,"score":0.6046013832092285},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6042461395263672},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5976150035858154},{"id":"https://openalex.org/C165231844","wikidata":"https://www.wikidata.org/wiki/Q160669","display_name":"Mach number","level":2,"score":0.5879671573638916},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5230606198310852},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.5021049976348877},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.47338998317718506},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.47313252091407776},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4356738328933716},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.41000354290008545},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3201737403869629},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3061371445655823},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20379480719566345},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11451348662376404},{"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/s0036139995285765","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139995285765","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W254802209","https://openalex.org/W1601100443","https://openalex.org/W1971374670","https://openalex.org/W1972555514","https://openalex.org/W1976614166","https://openalex.org/W1984891105","https://openalex.org/W1989185382","https://openalex.org/W1998066520","https://openalex.org/W1999362401","https://openalex.org/W2037107833","https://openalex.org/W2038873673","https://openalex.org/W2052830487","https://openalex.org/W2109195722","https://openalex.org/W2127071879","https://openalex.org/W2134037280","https://openalex.org/W2136196792","https://openalex.org/W2151240233","https://openalex.org/W2151778576","https://openalex.org/W2163928368","https://openalex.org/W2170097818","https://openalex.org/W3143622134","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3148450583","https://openalex.org/W2073827472","https://openalex.org/W2033338910","https://openalex.org/W2001088508","https://openalex.org/W1977973012","https://openalex.org/W2102699260","https://openalex.org/W4238008884","https://openalex.org/W1506249783","https://openalex.org/W4376653572","https://openalex.org/W65290257"],"abstract_inverted_index":{"The":[0,83],"evolution":[1],"of":[2,32,68,79,86,118,121],"O(1)":[3],"amplitude":[4,48,88],"Tollmien--Schlichting":[5,49],"waves":[6],"in":[7,21,35],"a":[8,28,46,65,76,112],"supersonic":[9],"boundary":[10],"layer":[11],"is":[12,51,61,90,93,124,127],"investigated.":[13],"Disturbances":[14],"whose":[15],"wavenumber":[16],"and":[17,23,71,92],"frequency":[18],"vary":[19],"slowly":[20],"time":[22],"space":[24],"are":[25,132],"described":[26],"using":[27],"phase":[29],"equation":[30,100,104,123],"type":[31],"approach.":[33],"Unlike":[34],"the":[36,42,59,107,119],"incompressible":[37],"case,":[38],"we":[39],"find":[40],"that":[41,129],"initial":[43],"bifurcation":[44,60],"to":[45,95,102],"finite":[47,77],"wave":[50,80],"subcritical":[52],"for":[53,64,74],"most":[54],"Mach":[55,69],"numbers.":[56],"In":[57],"fact":[58],"supercritical":[62],"only":[63,75],"small":[66],"range":[67,78],"numbers":[70],"even":[72],"then":[73],"propagation":[81],"angles.":[82],"modulational":[84],"instability":[85],"large":[87],"wavetrains":[89,131],"considered":[91],"shown":[94,128],"be":[96],"governed":[97],"by":[98,111],"an":[99],"similar":[101],"Burgers":[103],"but":[105],"with":[106],"viscous":[108],"term":[109],"replaced":[110],"fractional":[113],"derivative.":[114],"A":[115],"numerical":[116],"investigation":[117],"solution":[120],"this":[122],"described.":[125],"It":[126],"uniform":[130],"unstable.":[133]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
