{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:39:36Z","timestamp":1787323176567,"version":"build-2736575974"},"reference-count":19,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/501100012166","name":"National Key R&D Program of China","doi-asserted-by":"crossref","award":["2021YFA1000800"],"award-info":[{"award-number":["2021YFA1000800"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12288201"],"award-info":[{"award-number":["12288201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12031006"],"award-info":[{"award-number":["12031006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,12,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>In this paper, we investigate the quasi-neutral limit of the Nernst\u2013Planck\u2013-Navier\u2013Stokes system in a smooth bounded domain [Formula: see text] of [Formula: see text] for [Formula: see text], with \u201celectroneutral boundary conditions\u201d and well-prepared data. We first prove by using a modulated energy estimate that the solution sequence converges to the limit system in the norm of [Formula: see text] for some positive time [Formula: see text]. In order to justify the limit in a stronger norm, we need to construct both the initial layers and weak boundary layers in the approximate solutions.<\/jats:p>","DOI":"10.1137\/24m1635843","type":"journal-article","created":{"date-parts":[[2024,11,1]],"date-time":"2024-11-01T04:57:57Z","timestamp":1730437077000},"page":"7250-7289","source":"Crossref","is-referenced-by-count":1,"title":["Quasi-neutral Limit of Nernst\u2013Planck\u2013Navier\u2013Stokes System"],"prefix":"10.1137","volume":"56","author":[{"given":"Ping","family":"Zhang","sequence":"first","affiliation":[{"name":"Academy of Mathematics & Systems Science and Hua Loo-Keng Key Laboratory of Mathematics, The Chinese Academy of Sciences, Beijing 100190, China, and School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-3733-5771","authenticated-orcid":true,"given":"Yibin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Academy of Mathematics & Systems Science, The Chinese Academy of Sciences, Beijing 100190, China."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,11,1]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s00033-023-02162-y"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/120880926"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1080\/03605300008821529"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.7208\/chicago\/9780226764320.001.0001"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-018-01345-6"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-021-01630-x"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-021-01700-0"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133536"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00028-016-0356-0"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.05.047"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-005-0383-4"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2020.v18.n6.a9"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970814"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202509003693"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2020.103266"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/110833270"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141004440010"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141001393407"},{"key":"ref19","doi-asserted-by":"crossref","unstructured":"P. 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Zhang, Quasi-neutral Limit of Nernst-Planck-Navier-Stokes System, preprint, arXiv:2401.16680, 2024.","DOI":"10.1137\/24M1635843"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/24M1635843","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:46:10Z","timestamp":1787319970000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1635843"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,1]]},"references-count":19,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,12,31]]}},"alternative-id":["10.1137\/24M1635843"],"URL":"https:\/\/doi.org\/10.1137\/24m1635843","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,1]]}}}