{"id":"https://openalex.org/W4388130789","doi":"https://doi.org/10.1137/22m1471882","title":"Global Solution to the Physical Vacuum Problem of Compressible Euler Equations with Damping and Gravity","display_name":"Global Solution to the Physical Vacuum Problem of Compressible Euler Equations with Damping and Gravity","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388130789","doi":"https://doi.org/10.1137/22m1471882"},"language":"en","primary_location":{"id":"doi:10.1137/22m1471882","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1471882","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/A5066057448","display_name":"Huihui Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huihui Zeng","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066057448"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":2.1486,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.87444021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"55","issue":"6","first_page":"6375","last_page":"6424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9991999864578247,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9975000023841858,"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":0.9966999888420105,"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/inviscid-flow","display_name":"Inviscid flow","score":0.7150349617004395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6486209034919739},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6046916842460632},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5879936814308167},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49755600094795227},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.48545485734939575},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.4300583004951477},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4246114194393158},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.41440004110336304},{"id":"https://openalex.org/keywords/vacuum-state","display_name":"Vacuum state","score":0.4112212359905243},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.39179515838623047},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2996280789375305},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.24439170956611633}],"concepts":[{"id":"https://openalex.org/C86252789","wikidata":"https://www.wikidata.org/wiki/Q2247765","display_name":"Inviscid flow","level":2,"score":0.7150349617004395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6486209034919739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6046916842460632},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5879936814308167},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49755600094795227},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.48545485734939575},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.4300583004951477},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4246114194393158},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.41440004110336304},{"id":"https://openalex.org/C70662872","wikidata":"https://www.wikidata.org/wiki/Q766202","display_name":"Vacuum state","level":2,"score":0.4112212359905243},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.39179515838623047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2996280789375305},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.24439170956611633},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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:10.1137/22m1471882","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1471882","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":"Climate action","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G2426403148","display_name":null,"funder_award_id":"11822107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7766810564","display_name":null,"funder_award_id":"12171267","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W41174126","https://openalex.org/W305332711","https://openalex.org/W1493135876","https://openalex.org/W1553260618","https://openalex.org/W1927623812","https://openalex.org/W1970228368","https://openalex.org/W1972217080","https://openalex.org/W1984735519","https://openalex.org/W1989547590","https://openalex.org/W1992671841","https://openalex.org/W1992913018","https://openalex.org/W2004993859","https://openalex.org/W2011819936","https://openalex.org/W2013364545","https://openalex.org/W2019680912","https://openalex.org/W2043581458","https://openalex.org/W2053952260","https://openalex.org/W2133010631","https://openalex.org/W2137674306","https://openalex.org/W2141278389","https://openalex.org/W2144108605","https://openalex.org/W2163734752","https://openalex.org/W2196691492","https://openalex.org/W2214842323","https://openalex.org/W2274503602","https://openalex.org/W2288772602","https://openalex.org/W2316250814","https://openalex.org/W2359425119","https://openalex.org/W2480873447","https://openalex.org/W2592629644","https://openalex.org/W2617598341","https://openalex.org/W2955869427","https://openalex.org/W2962886193","https://openalex.org/W2962888064","https://openalex.org/W2963373228","https://openalex.org/W2963554700","https://openalex.org/W2963831920","https://openalex.org/W2964059356","https://openalex.org/W2979421986","https://openalex.org/W3014454619","https://openalex.org/W3095914180","https://openalex.org/W3099040161","https://openalex.org/W3102507384"],"related_works":["https://openalex.org/W2029877474","https://openalex.org/W4300105121","https://openalex.org/W2936887813","https://openalex.org/W4226163825","https://openalex.org/W2963315378","https://openalex.org/W4391013527","https://openalex.org/W4379538724","https://openalex.org/W4387702698","https://openalex.org/W3211383997","https://openalex.org/W2991429871"],"abstract_inverted_index":{"The":[0,48,88,144],"global":[1,156],"existence":[2,157],"of":[3,13,33,41,52,60,79,96,108,131,140,158,166,192],"smooth":[4],"solutions":[5,159],"to":[6,58,77,160],"the":[7,27,34,38,42,53,61,80,93,105,116,119,124,129,138,141,151,155,161,171,179,193],"physical":[8,120],"vacuum":[9,56,113,125,162,180],"free":[10,163],"boundary":[11,57,126,164],"problem":[12,194],"compressible":[14,168],"Euler":[15],"equations":[16],"with":[17,102,170],"damping":[18],"and":[19,55,68,99,128,137],"gravity":[20,132],"is":[21,44,64,70,90,182,188],"proved":[22,71],"in":[23,147,185],"space":[24],"dimensions":[25],"for":[26,46,66,72],"initial":[28],"data":[29],"being":[30],"small":[31],"perturbations":[32],"stationary":[35,62,81],"solution.":[36],"Moreover,":[37],"exponential":[39],"decay":[40],"velocity":[43],"obtained":[45,146],".":[47],"exponentially":[49],"fast":[50,176],"convergence":[51,177],"density":[54],"those":[59,78],"solution":[63,82],"shown":[65],",":[67],"it":[69,135],"that":[73],"they":[74,84],"stay":[75],"close":[76],"if":[83],"do":[85],"so":[86],"initially.":[87],"proof":[89],"based":[91],"on":[92,154],"weighted":[94],"estimates":[95],"both":[97],"hyperbolic":[98],"parabolic":[100],"types":[101],"weights":[103],"capturing":[104],"singular":[106],"behavior":[107],"higher-order":[109],"normal":[110],"derivatives":[111],"near":[112],"states,":[114],"exploring":[115],"balance":[117],"between":[118],"singularity":[121],"which":[122,133],"pushes":[123],"outward":[127],"effect":[130],"pulls":[134],"inward,":[136],"dissipation":[139],"frictional":[142],"damping.":[143],"results":[145],"this":[148,186],"paper":[149,187],"are":[150],"first":[152],"ones":[153],"problems":[165],"inviscid":[167],"fluids":[169],"nonexpanding":[172],"background":[173],"solutions.":[174],"Exponentially":[175],"when":[178],"state":[181],"involved":[183],"discovered":[184],"a":[189],"new":[190],"feature":[191],"studied.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}