{"id":"https://openalex.org/W4396822503","doi":"https://doi.org/10.1137/24m1660553","title":"Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave","display_name":"Virial Theorem and Its Applications in Instability of Two-Phase Water-Wave","publication_year":2025,"publication_date":"2025-09-17","ids":{"openalex":"https://openalex.org/W4396822503","doi":"https://doi.org/10.1137/24m1660553"},"language":"en","primary_location":{"id":"doi:10.1137/24m1660553","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1660553","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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2405.06517","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119641695","display_name":"Haocheng Yang","orcid":"https://orcid.org/0009-0009-1067-3616"},"institutions":[{"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/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Haocheng Yang","raw_affiliation_strings":["Ecole Normale Sup\u00e9rieure Paris-Saclay, CNRS Centre Borelli UMR9010, F-91190 Gif-sur-Yvette, and Universit\u00e9 Paris XIII (Sorbonne Paris-Nord), LAGA, CNRS (UMR 7539), F-93430 Villetaneuse","CB - CB - Centre Borelli - UMR 9010 (Campus ENS Paris-Saclay\r\n4 Avenue des Sciences,\r\n91190 Gif-sur-Yvette - France)","LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)"],"raw_orcid":"https://orcid.org/0009-0009-1067-3616","affiliations":[{"raw_affiliation_string":"Ecole Normale Sup\u00e9rieure Paris-Saclay, CNRS Centre Borelli UMR9010, F-91190 Gif-sur-Yvette, and Universit\u00e9 Paris XIII (Sorbonne Paris-Nord), LAGA, CNRS (UMR 7539), F-93430 Villetaneuse","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I1294671590","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"CB - CB - Centre Borelli - UMR 9010 (Campus ENS Paris-Saclay\r\n4 Avenue des Sciences,\r\n91190 Gif-sur-Yvette - France)","institution_ids":[]},{"raw_affiliation_string":"LAGA - Laboratoire Analyse, G\u00e9om\u00e9trie et Applications (Institut Galil\u00e9e, 99 avenue Jean-Baptiste Cl\u00e9ment, F-93430, Villetaneuse, France - France)","institution_ids":["https://openalex.org/I4210102686"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5119641695"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686"],"apc_list":null,"apc_paid":null,"fwci":6.6041,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.93917497,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"57","issue":"5","first_page":"5420","last_page":"5453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9815999865531921,"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/virial-theorem","display_name":"Virial theorem","score":0.7367947101593018},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.6967183351516724},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5049601197242737},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4020814299583435},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.25158393383026123},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17126402258872986}],"concepts":[{"id":"https://openalex.org/C189549420","wikidata":"https://www.wikidata.org/wiki/Q620602","display_name":"Virial theorem","level":3,"score":0.7367947101593018},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.6967183351516724},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5049601197242737},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4020814299583435},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.25158393383026123},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17126402258872986},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/24m1660553","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1660553","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:2405.06517","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.06517","pdf_url":"https://arxiv.org/pdf/2405.06517","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":[],"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:HAL:hal-04572376v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04572376","pdf_url":"https://hal.science/hal-04572376/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2024","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2405.06517","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.06517","pdf_url":"https://arxiv.org/pdf/2405.06517","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":[],"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":[{"display_name":"Clean water and sanitation","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396822503.pdf"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W611397421","https://openalex.org/W884800875","https://openalex.org/W1488539883","https://openalex.org/W1608561939","https://openalex.org/W1644398090","https://openalex.org/W1805119228","https://openalex.org/W1869810134","https://openalex.org/W1967427666","https://openalex.org/W1967739918","https://openalex.org/W1973473620","https://openalex.org/W1975260938","https://openalex.org/W1991440858","https://openalex.org/W1995213139","https://openalex.org/W2001590832","https://openalex.org/W2003405066","https://openalex.org/W2003544910","https://openalex.org/W2010423226","https://openalex.org/W2012043540","https://openalex.org/W2015581894","https://openalex.org/W2021884216","https://openalex.org/W2028956375","https://openalex.org/W2036509396","https://openalex.org/W2038367331","https://openalex.org/W2041323094","https://openalex.org/W2042969424","https://openalex.org/W2044601258","https://openalex.org/W2046973776","https://openalex.org/W2047428917","https://openalex.org/W2048865388","https://openalex.org/W2049657837","https://openalex.org/W2051459660","https://openalex.org/W2055779624","https://openalex.org/W2057839672","https://openalex.org/W2067951748","https://openalex.org/W2084132426","https://openalex.org/W2090281991","https://openalex.org/W2090885565","https://openalex.org/W2093146030","https://openalex.org/W2093801303","https://openalex.org/W2109451901","https://openalex.org/W2113362972","https://openalex.org/W2132126352","https://openalex.org/W2169984552","https://openalex.org/W2501645184","https://openalex.org/W2711268461","https://openalex.org/W2903691762","https://openalex.org/W2916835505","https://openalex.org/W2962849112","https://openalex.org/W2963872693","https://openalex.org/W3008936349","https://openalex.org/W3102659442","https://openalex.org/W3106447296","https://openalex.org/W3192345623","https://openalex.org/W4241779072","https://openalex.org/W4243861480","https://openalex.org/W4246414079","https://openalex.org/W4256483023","https://openalex.org/W4400834581","https://openalex.org/W4405083093"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"analyze":[4],"the":[5,32,40,45,52,73],"dynamics":[6],"of":[7,10,35,39,68,75],"two":[8],"layers":[9],"immiscible,":[11],"inviscid,":[12],"incompressible,":[13],"and":[14,30,37],"irrotational":[15],"fluids":[16],"through":[17],"a":[18,27,65],"full":[19],"nonlinear":[20],"system.":[21],"Our":[22],"goal":[23],"is":[24,48],"to":[25],"establish":[26],"virial":[28],"theorem":[29],"prove":[31],"polynomial":[33],"growth":[34],"slope":[36],"curvature":[38],"interface":[41],"over":[42],"time":[43],"when":[44],"fluid":[46],"below":[47],"no":[49],"denser":[50],"than":[51],"one":[53],"above.":[54],"These":[55],"phenomena,":[56],"known":[57],"as":[58],"Rayleigh-Taylor":[59],"instability,":[60],"will":[61],"be":[62],"proved":[63],"for":[64],"broad":[66],"class":[67],"regular":[69],"initial":[70],"data,":[71],"including":[72],"case":[74],"2D":[76],"overlapping":[77],"interface.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}