{"id":"https://openalex.org/W2160696063","doi":"https://doi.org/10.1155/2013/348513","title":"Well-Posedness of the Two-Dimensional Fractional Quasigeostrophic Equation","display_name":"Well-Posedness of the Two-Dimensional Fractional Quasigeostrophic Equation","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2160696063","doi":"https://doi.org/10.1155/2013/348513","mag":"2160696063"},"language":"lv","primary_location":{"id":"doi:10.1155/2013/348513","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/348513","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/348513.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/348513.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073616296","display_name":"XU Yong-qiang","orcid":"https://orcid.org/0000-0001-7561-3790"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Minnan Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongqiang Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China"],"raw_orcid":"https://orcid.org/0000-0001-7561-3790","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China","institution_ids":["https://openalex.org/I9356336"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073616296"],"corresponding_institution_ids":["https://openalex.org/I9356336"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17773603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T10194","display_name":"Nonlinear Partial Differential Equations","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"}}],"keywords":[{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6363135576248169},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46582576632499695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41510722041130066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2852366268634796},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19717997312545776}],"concepts":[{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6363135576248169},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46582576632499695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41510722041130066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2852366268634796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19717997312545776}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/348513","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/348513","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/348513.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808198","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808198","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:348513","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/348513.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:bd867ce608d142f28aba48796a313677","is_oa":true,"landing_page_url":"https://doaj.org/article/bd867ce608d142f28aba48796a313677","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/348513","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/348513","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/348513.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7500945127","display_name":null,"funder_award_id":"L21228","funder_id":"https://openalex.org/F4320324314","funder_display_name":"Minnan Normal University"}],"funders":[{"id":"https://openalex.org/F4320324314","display_name":"Minnan Normal University","ror":"https://ror.org/02vj1vm13"},{"id":"https://openalex.org/F4320336475","display_name":"National Safety Academic Fund","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2160696063.pdf","grobid_xml":"https://content.openalex.org/works/W2160696063.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W69403668","https://openalex.org/W1519793694","https://openalex.org/W1559403043","https://openalex.org/W1976085087","https://openalex.org/W1976694225","https://openalex.org/W2000556400","https://openalex.org/W2009298738","https://openalex.org/W2017414105","https://openalex.org/W2018766993","https://openalex.org/W2019404568","https://openalex.org/W2020628192","https://openalex.org/W2023174645","https://openalex.org/W2034396451","https://openalex.org/W2112287406","https://openalex.org/W2136696626","https://openalex.org/W2170523565","https://openalex.org/W4213021285","https://openalex.org/W4236581885","https://openalex.org/W4292366025"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W4299978068","https://openalex.org/W2390279801","https://openalex.org/W2950745223","https://openalex.org/W2358668433","https://openalex.org/W2164189677","https://openalex.org/W2376932109","https://openalex.org/W2001405890"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"concerned":[3],"with":[4,9],"the":[5,14,23,28,32],"fractional":[6],"quasigeostrophic":[7],"equation":[8],"modified":[10],"dissipativity.":[11],"We":[12],"prove":[13],"local":[15],"existence":[16,30],"of":[17],"solutions":[18],"in":[19],"Sobolev":[20],"spaces":[21],"for":[22,31],"general":[24],"initial":[25,34],"data":[26,35],"and":[27],"global":[29],"small":[33],"when<mml:math":[36],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[37],"id=\"M1\"><mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mrow><mml:mo>\u2264</mml:mo><mml:mi>\u03b1</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn></mml:math>.":[38]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}