{"id":"https://openalex.org/W2690773899","doi":"https://doi.org/10.1137/16m1101283","title":"Linear Damping of Alfv\u00e9n Waves by Phase Mixing","display_name":"Linear Damping of Alfv\u00e9n Waves by Phase Mixing","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2690773899","doi":"https://doi.org/10.1137/16m1101283","mag":"2690773899"},"language":"en","primary_location":{"id":"doi:10.1137/16m1101283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1101283","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/A5058894072","display_name":"Siqi Ren","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Siqi Ren","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011416946","display_name":"Weiren Zhao","orcid":"https://orcid.org/0000-0002-5408-0697"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weiren Zhao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1721,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.63843199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"3","first_page":"2101","last_page":"2137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.996999979019165,"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/T10159","display_name":"Ionosphere and magnetosphere dynamics","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetohydrodynamics","display_name":"Magnetohydrodynamics","score":0.7597593069076538},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.5973459482192993},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.5910369157791138},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.5385734438896179},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5337425470352173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4739377796649933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47341638803482056},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4722430408000946},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.4530493915081024},{"id":"https://openalex.org/keywords/phase-velocity","display_name":"Phase velocity","score":0.4334619641304016},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4127904176712036},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3218214511871338},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17868098616600037},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12290802597999573},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12121844291687012}],"concepts":[{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7597593069076538},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5973459482192993},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.5910369157791138},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5385734438896179},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5337425470352173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4739377796649933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47341638803482056},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4722430408000946},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.4530493915081024},{"id":"https://openalex.org/C26682833","wikidata":"https://www.wikidata.org/wiki/Q13824","display_name":"Phase velocity","level":2,"score":0.4334619641304016},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4127904176712036},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3218214511871338},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17868098616600037},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12290802597999573},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12121844291687012}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1101283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1101283","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/G4962804355","display_name":null,"funder_award_id":"11425103","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W128034904","https://openalex.org/W652899308","https://openalex.org/W1894705383","https://openalex.org/W1966731407","https://openalex.org/W1983376330","https://openalex.org/W2004229046","https://openalex.org/W2011536443","https://openalex.org/W2018014162","https://openalex.org/W2021625423","https://openalex.org/W2079944305","https://openalex.org/W2090000352","https://openalex.org/W2090938937","https://openalex.org/W2092216775","https://openalex.org/W2101644050","https://openalex.org/W2117657872","https://openalex.org/W2123454439","https://openalex.org/W2227109786","https://openalex.org/W2318148106","https://openalex.org/W2599800800","https://openalex.org/W2605007823","https://openalex.org/W2767734227","https://openalex.org/W2962902900","https://openalex.org/W2963057747","https://openalex.org/W2963620957","https://openalex.org/W2964261046","https://openalex.org/W2970105038","https://openalex.org/W3101015676","https://openalex.org/W3105340407"],"related_works":["https://openalex.org/W2485048428","https://openalex.org/W3160947786","https://openalex.org/W4298153546","https://openalex.org/W2952020894","https://openalex.org/W2063184286","https://openalex.org/W2047762351","https://openalex.org/W4251906900","https://openalex.org/W2109023425","https://openalex.org/W4252085724","https://openalex.org/W2076179873"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"a":[5,31],"rigorous":[6],"proof":[7],"of":[8,11,43,60],"the":[9,12,18,44],"damping":[10,35],"velocity":[13],"and":[14,40],"magnetic":[15,26],"field":[16,27],"for":[17],"linearized":[19],"MHD":[20],"equations":[21],"around":[22],"strictly":[23],"monotone":[24],"positive":[25],"$\\mathbf{B}_{s}=(b(y),":[28],"0)$":[29],"in":[30],"finite":[32],"channel.":[33],"Such":[34],"was":[36],"predicted":[37],"by":[38],"Tatarouis":[39],"Grossmann":[41],"[Proceedings":[42],"2nd":[45],"Topical":[46],"Conference":[47],"on":[48],"Pulsed":[49],"High-Beta":[50],"Plasmas,":[51],"1972,":[52],"IPP":[53],"Report":[54],"1/127],":[55],"due":[56],"to":[57],"their":[58],"observation":[59],"phase":[61],"mixing":[62],"phenomena.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}