{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:32:35Z","timestamp":1777447955127,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2019,4,1]],"date-time":"2019-04-01T00:00:00Z","timestamp":1554076800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2019,4,1]]},"abstract":"<jats:p>The stationary Stokes problem in a n-dimensional domain with a rapidly oscillating [Formula: see text] dimensional boundary prescribed with Neumann boundary condition and periodicity along the lateral sides is considered. We identify the limit equation in a fixed domain with a one dimensional Laplacian-type problem, satisfied on the region covered by the oscillating part of the boundary, coupled with steady Stokes in the complement. The existence and uniqueness of solution for the coupled limit problem is established and, finally, the weak convergences of velocities are improved to strong convergence by introducing corrector terms.<\/jats:p>","DOI":"10.3233\/asy-181499","type":"journal-article","created":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T13:41:04Z","timestamp":1554212464000},"page":"125-150","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Homogenization of Stokes with Neumann condition on oscillating boundary"],"prefix":"10.1177","volume":"112","author":[{"given":"Thirumalai Nambi","family":"Muthukumar","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Uttarpradesh-208016, India. E-mails:\u00a0,\u00a0"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bidhan Chandra","family":"Sardar","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Uttarpradesh-208016, India. E-mails:\u00a0,\u00a0"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,4,1]]},"reference":[{"key":"ref001","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6088"},{"key":"ref002","doi-asserted-by":"publisher","DOI":"10.4171\/zaa\/1052"},{"key":"ref003","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141003414877"},{"key":"ref004","doi-asserted-by":"publisher","DOI":"10.1007\/s11565-007-0015-z"},{"key":"ref005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2013.01.024"},{"key":"ref006","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973488"},{"key":"ref007","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-5975-0"},{"key":"ref008","unstructured":"R.\u00a0Brizzi and J.P.\u00a0Chalot, Homog\u00e9n\u00e9isation de frontieres, Thesis, University of Nice, 1978."},{"issue":"2","key":"ref009","first-page":"341","volume":"46","author":"Brizzi R.","year":"1997","journal-title":"Ricerche Mat."},{"key":"ref010","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2008.02.040"},{"key":"ref011","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8173-9"},{"key":"ref012","doi-asserted-by":"publisher","DOI":"10.1016\/S1631-073X(02)02429-9"},{"key":"ref013","doi-asserted-by":"publisher","DOI":"10.1137\/080713148"},{"key":"ref014","unstructured":"D.\u00a0Cioranescu, A.\u00a0Damlamian and G.\u00a0Griso, The periodic unfolding method in homogenization, multiple scales problems in biomathematics, mechanics, physics and numerics, in: GAKUTO Internat. Ser. Math. Sci. Appl., Vol.\u00a031, Gakk\u014dtosho, Tokyo, 2009, pp.\u00a01\u201335."},{"issue":"1","key":"ref015","first-page":"31","volume":"64","author":"Conca C.","year":"1985","journal-title":"J. Math. Pures Appl. (9)"},{"issue":"4","key":"ref016","first-page":"1","volume":"4","author":"Corbo Esposito A.","year":"1997","journal-title":"Comm. Appl. Nonlinear Anal."},{"key":"ref017","doi-asserted-by":"publisher","DOI":"10.1142\/9789814366892_0002"},{"issue":"1","key":"ref018","first-page":"197","volume":"23","author":"Damlamian A.","year":"2009","journal-title":"Discrete Contin. Dyn. Syst."},{"issue":"2","key":"ref019","first-page":"239","volume":"43","author":"Gaudiello A.","year":"1994","journal-title":"Ricerche Mat."},{"key":"ref020","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-017-1079-2"},{"key":"ref021","unstructured":"S.\u00a0Kesavan, Topics in Functional Analysis and Applications, John Wiley & Sons, Inc., New York, 1989."},{"key":"ref022","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2013.33.803"},{"key":"ref023","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8255-2"}],"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181499","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/ASY-181499","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181499","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:36:23Z","timestamp":1777379783000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-181499"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,1]]},"references-count":23,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2019,4,1]]}},"alternative-id":["10.3233\/ASY-181499"],"URL":"https:\/\/doi.org\/10.3233\/asy-181499","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,4,1]]}}}