{"id":"https://openalex.org/W4411697698","doi":"https://doi.org/10.1016/j.jde.2025.113579","title":"Regularity of the 3D stochastic viscous Primitive Equations","display_name":"Regularity of the 3D stochastic viscous Primitive Equations","publication_year":2025,"publication_date":"2025-06-26","ids":{"openalex":"https://openalex.org/W4411697698","doi":"https://doi.org/10.1016/j.jde.2025.113579"},"language":"en","primary_location":{"id":"doi:10.1016/j.jde.2025.113579","doi":"https://doi.org/10.1016/j.jde.2025.113579","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2025.113579","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4411697698"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5101405671","display_name":"Zhao Dong","orcid":"https://orcid.org/0000-0002-5205-6730","observed_orcids":["https://orcid.org/0000-0002-5205-6730"]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao Dong","raw_affiliation_strings":["RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RCSDS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hao Xiong","orcid":"https://orcid.org/0000-0001-6461-7833","observed_orcids":["https://orcid.org/0000-0001-6461-7833"]},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Xiong","raw_affiliation_strings":["School of Statistics and Mathematics, Chongqing University, Chongqing, 400044, China"],"raw_orcid":"https://orcid.org/0000-0001-6461-7833","affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Chongqing University, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082711043","display_name":"Guoli Zhou","orcid":"https://orcid.org/0000-0002-6599-1859","observed_orcids":["https://orcid.org/0000-0002-6599-1859"]},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoli Zhou","raw_affiliation_strings":["School of Statistics and Mathematics, Chongqing University, Chongqing, 400044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Chongqing University, Chongqing, 400044, China","institution_ids":["https://openalex.org/I158842170"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082711043"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.5955,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50939836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"445","issue":null,"first_page":"113579","last_page":"113579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9887999892234802,"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":0.9887999892234802,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.004999999888241291,"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"}},{"id":"https://openalex.org/T10255","display_name":"Oceanographic and Atmospheric Processes","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/strong-solutions","display_name":"strong solutions","score":0.7059999704360962},{"id":"https://openalex.org/keywords/a-priori-estimates","display_name":"a priori estimates","score":0.8889999985694885},{"id":"https://openalex.org/keywords/regularity-of-solutions","display_name":"regularity of solutions","score":0.7059999704360962},{"id":"https://openalex.org/keywords/invariant-measures","display_name":"invariant measures","score":0.8330000042915344},{"id":"https://openalex.org/keywords/random-attractors","display_name":"random attractors","score":0.8389999866485596},{"id":"https://openalex.org/keywords/large-scale-ocean-dynamics","display_name":"large-scale ocean dynamics","score":0.7879999876022339},{"id":"https://openalex.org/keywords/non-periodic-boundary-conditions","display_name":"non-periodic boundary conditions","score":0.9850000143051147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8501631021499634},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40181660652160645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37348344922065735},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34196269512176514},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3357403874397278},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.0766654908657074},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05396223068237305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jde.2025.113579","doi":"https://doi.org/10.1016/j.jde.2025.113579","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jde.2025.113579","pdf_url":null,"source":{"id":"https://openalex.org/S200871675","display_name":"Journal of Differential Equations","issn_l":"0022-0396","issn":["0022-0396","1090-2732"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Differential Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1598879695","display_name":null,"funder_award_id":"2008D-P173182","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"},{"id":"https://openalex.org/G2043472749","display_name":null,"funder_award_id":"12371146","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2445517841","display_name":null,"funder_award_id":"cstc2020jcyj-msxmX0441","funder_id":"https://openalex.org/F4320327726","funder_display_name":"Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission"},{"id":"https://openalex.org/G3248453275","display_name":null,"funder_award_id":"2022CDJXY-001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G556427084","display_name":null,"funder_award_id":"2020CDJ\u2010LHZZ\u2010027","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6589251086","display_name":null,"funder_award_id":"12090014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8319019752","display_name":"\u975e\u5c40\u90e8\u72c4\u6c0f\u578b\u548c\u968f\u673a\u504f\u5fae\u5206\u65b9\u7a0b\u82e5\u5e72\u95ee\u9898\u7814\u7a76","funder_award_id":"11931004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8631612919","display_name":"\u5173\u4e8e\u968f\u673a\u5927\u6c14\u6d77\u6d0b\u65b9\u7a0b\u6b63\u5219\u6027\u4e0e\u6e10\u8fd1\u6027\u7684\u7814\u7a76","funder_award_id":"11971077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8919134445","display_name":null,"funder_award_id":"2020YFA0712700","funder_id":"https://openalex.org/F4320333596","funder_display_name":"Key Technology Research and Development Program of Shandong"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320321135","display_name":"Chongqing University","ror":"https://ror.org/023rhb549"},{"id":"https://openalex.org/F4320327726","display_name":"Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission","ror":null},{"id":"https://openalex.org/F4320333596","display_name":"Key Technology Research and Development Program of Shandong","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320335880","display_name":"Fundamental Research Funds for Central Universities of the Central South University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W67812752","https://openalex.org/W138643006","https://openalex.org/W1487637136","https://openalex.org/W1557376552","https://openalex.org/W1970421913","https://openalex.org/W1974688290","https://openalex.org/W1974942106","https://openalex.org/W1987069979","https://openalex.org/W1995864912","https://openalex.org/W2003852042","https://openalex.org/W2028942074","https://openalex.org/W2040211481","https://openalex.org/W2058037139","https://openalex.org/W2063846980","https://openalex.org/W2070430318","https://openalex.org/W2076582418","https://openalex.org/W2076809967","https://openalex.org/W2096020040","https://openalex.org/W2121747295","https://openalex.org/W2144762236","https://openalex.org/W2148797843","https://openalex.org/W2148947997","https://openalex.org/W2204714632","https://openalex.org/W2327577206","https://openalex.org/W2407355663","https://openalex.org/W2498071357","https://openalex.org/W2738074099","https://openalex.org/W2962681609","https://openalex.org/W2963219824","https://openalex.org/W2963665329","https://openalex.org/W3003481550","https://openalex.org/W3023314255","https://openalex.org/W3081667370","https://openalex.org/W3094207931","https://openalex.org/W3173299865","https://openalex.org/W3184468386","https://openalex.org/W4212985479","https://openalex.org/W4292024663","https://openalex.org/W4298011665","https://openalex.org/W4300475775","https://openalex.org/W4302819252","https://openalex.org/W6723904296"],"related_works":["https://openalex.org/W3135945803","https://openalex.org/W2072025230","https://openalex.org/W1987069979","https://openalex.org/W2962681609","https://openalex.org/W2964236085","https://openalex.org/W2121747295","https://openalex.org/W7096247746","https://openalex.org/W2201139544","https://openalex.org/W770005184"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2025-10-10T00:00:00"}
