{"id":"https://openalex.org/W3093443634","doi":"https://doi.org/10.1137/20m1324776","title":"Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow","display_name":"Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3093443634","doi":"https://doi.org/10.1137/20m1324776","mag":"3093443634"},"language":"en","primary_location":{"id":"doi:10.1137/20m1324776","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324776","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/A5041915803","display_name":"Nicki Boardman","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nicki Boardman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103228473","display_name":"Hongxia Lin","orcid":"https://orcid.org/0000-0002-8186-0445"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hongxia Lin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100368783","display_name":"Jiahong Wu","orcid":"https://orcid.org/0000-0001-9496-9709"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiahong Wu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041915803"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.3039,"has_fulltext":false,"cited_by_count":56,"citation_normalized_percentile":{"value":0.98203496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"52","issue":"5","first_page":"5001","last_page":"5035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9995999932289124,"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":0.9995999932289124,"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9990000128746033,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.822190523147583},{"id":"https://openalex.org/keywords/magnetohydrodynamic-drive","display_name":"Magnetohydrodynamic drive","score":0.7980048656463623},{"id":"https://openalex.org/keywords/vorticity","display_name":"Vorticity","score":0.693600058555603},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.6773604154586792},{"id":"https://openalex.org/keywords/vorticity-equation","display_name":"Vorticity equation","score":0.647788405418396},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.6122163534164429},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5935193300247192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48038560152053833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4761507511138916},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.47324806451797485},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4596710801124573},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.434938907623291},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.42295870184898376},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.3798774480819702},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.34301242232322693}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.822190523147583},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.7980048656463623},{"id":"https://openalex.org/C200114574","wikidata":"https://www.wikidata.org/wiki/Q1143513","display_name":"Vorticity","level":3,"score":0.693600058555603},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6773604154586792},{"id":"https://openalex.org/C162157250","wikidata":"https://www.wikidata.org/wiki/Q3730817","display_name":"Vorticity equation","level":4,"score":0.647788405418396},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.6122163534164429},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5935193300247192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48038560152053833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4761507511138916},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.47324806451797485},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4596710801124573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.434938907623291},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42295870184898376},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.3798774480819702},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34301242232322693},{"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:10.1137/20m1324776","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1324776","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":[],"awards":[{"id":"https://openalex.org/G3277180586","display_name":null,"funder_award_id":"18ZB0069","funder_id":"https://openalex.org/F4320322970","funder_display_name":"Education Department of Sichuan Province"},{"id":"https://openalex.org/G3723081225","display_name":null,"funder_award_id":"11701049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8483214714","display_name":null,"funder_award_id":"DMS-1624146","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8775527006","display_name":null,"funder_award_id":"2017M622989","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320307789","display_name":"AT and T","ror":"https://ror.org/02bbd5539"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322970","display_name":"Education Department of Sichuan Province","ror":"https://ror.org/05s1c4z27"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1500409490","https://openalex.org/W1535319857","https://openalex.org/W1574127304","https://openalex.org/W1966496103","https://openalex.org/W1968935464","https://openalex.org/W1968974550","https://openalex.org/W1983376330","https://openalex.org/W1983427527","https://openalex.org/W1999637979","https://openalex.org/W2001691824","https://openalex.org/W2003141166","https://openalex.org/W2009787879","https://openalex.org/W2018014162","https://openalex.org/W2023626934","https://openalex.org/W2044456801","https://openalex.org/W2049973561","https://openalex.org/W2092216775","https://openalex.org/W2104523731","https://openalex.org/W2156801771","https://openalex.org/W2227109786","https://openalex.org/W2252668710","https://openalex.org/W2260159855","https://openalex.org/W2477313181","https://openalex.org/W2533520992","https://openalex.org/W2583523697","https://openalex.org/W2595282092","https://openalex.org/W2599800800","https://openalex.org/W2738394304","https://openalex.org/W2755734799","https://openalex.org/W2783022917","https://openalex.org/W2808147596","https://openalex.org/W2884131553","https://openalex.org/W2962679132","https://openalex.org/W2962681700","https://openalex.org/W2963123674","https://openalex.org/W2963448251","https://openalex.org/W2963757393","https://openalex.org/W2963826932","https://openalex.org/W2964006376","https://openalex.org/W2964114231","https://openalex.org/W2964154968","https://openalex.org/W2964159510","https://openalex.org/W2964165764","https://openalex.org/W2964261046","https://openalex.org/W2964305021","https://openalex.org/W2974892472","https://openalex.org/W3007046111","https://openalex.org/W3099742155","https://openalex.org/W3103121701","https://openalex.org/W3103340878"],"related_works":["https://openalex.org/W4206764282","https://openalex.org/W2766106989","https://openalex.org/W2276478640","https://openalex.org/W2165279409","https://openalex.org/W2563697776","https://openalex.org/W4300998095","https://openalex.org/W4385681600","https://openalex.org/W2964194582","https://openalex.org/W1643467562","https://openalex.org/W2029030586"],"abstract_inverted_index":{"This":[0,29],"paper":[1],"rigorously":[2],"establishes":[3],"the":[4,43,55,60,63,85,88,99,103,106,111,114,119,135,139,153],"stabilization":[5],"effect":[6],"of":[7,141],"a":[8,16,34,68],"background":[9,107],"magnetic":[10,61,100,108],"field":[11,101,109],"on":[12,33],"electrically":[13],"conducting":[14],"fluids,":[15],"phenomenon":[17],"that":[18],"has":[19],"been":[20],"widely":[21],"observed":[22],"in":[23,41,54,81,131],"physical":[24],"experiments":[25],"and":[26,49,84,113,128,151],"numerical":[27],"simulations.":[28],"study":[30],"is":[31,51,67],"based":[32],"2":[35],"dimensional":[36],"(2D)":[37],"magnetohydrodynamic":[38],"(MHD)":[39],"system":[40,154],"which":[42],"velocity":[44,115],"equation":[45,66,71],"involves":[46],"no":[47],"dissipation":[48,143],"there":[50],"only":[52],"damping":[53],"vertical":[56],"component":[57],"equation.":[58],"Without":[59],"field,":[62],"corresponding":[64],"vorticity":[65,120],"2D":[69],"Euler-like":[70],"with":[72,98],"an":[73],"extra":[74],"Riesz":[75],"transform":[76],"type":[77,157],"term.":[78],"The":[79],"global":[80],"time":[82],"regularity":[83],"stability":[86],"near":[87],"trivial":[89],"solution":[90],"are":[91,125],"well":[92,117],"known":[93],"open":[94],"problems.":[95],"When":[96],"coupled":[97],"through":[102],"MHD":[104],"system,":[105],"stabilizes":[110],"fluid,":[112],"as":[116,118],"remain":[121],"small":[122],"if":[123],"they":[124],"initially":[126],"so":[127],"decay":[129],"algebraically":[130],"time.":[132],"To":[133],"overcome":[134],"difficulties":[136],"due":[137],"to":[138,155],"lack":[140],"full":[142],"or":[144],"damping,":[145],"we":[146],"construct":[147],"suitable":[148],"Lyapunov":[149],"functionals":[150],"reduce":[152],"wave":[156],"equations.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-04T09:10:02.777135","created_date":"2025-10-10T00:00:00"}