{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:54:53Z","timestamp":1777449293383,"version":"3.51.4"},"reference-count":20,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2015,11,9]],"date-time":"2015-11-09T00:00:00Z","timestamp":1447027200000},"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":[[2015,11,9]]},"abstract":"<jats:p>\n                    We consider the stationary Stokes problem in a three-dimensional fluid domain\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">F<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    with non-homogeneous Dirichlet boundary conditions. We assume that this fluid domain is the complement of a bounded obstacle\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">B<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    in a bounded or an exterior smooth container\n                    <jats:italic toggle=\"yes\">\u03a9<\/jats:italic>\n                    . We compute sharp asymptotics of the solution to the Stokes problem when the distance between the obstacle and the container boundary is small.\n                  <\/jats:p>","DOI":"10.3233\/asy-151319","type":"journal-article","created":{"date-parts":[[2015,11,10]],"date-time":"2015-11-10T11:33:39Z","timestamp":1447155219000},"page":"187-241","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Justification of lubrication approximation: An application to fluid\/solid interactions"],"prefix":"10.1177","volume":"95","author":[{"given":"M.","family":"Hillairet","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Montpellier","place":["France"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.","family":"Kela\u00ef","sequence":"additional","affiliation":[{"name":"IMJ-PRG et Universit\u00e9 Paris 7","place":["France"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2025,2,12]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01442229"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.3233\/ASY-2008-0915"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01448389"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/4.2.163"},{"key":"e_1_3_3_6_1","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300004599"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/0301-9322(74)90019-6"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300003314"},{"key":"e_1_3_3_9_1","doi-asserted-by":"crossref","unstructured":"[8]G.P.\u00a0Galdi An Introduction to the Mathematical Theory of the Navier\u2013Stokes Equations: Steady-State Problems 2nd edn Springer Monographs in Mathematics Springer New York 2011.","DOI":"10.1007\/978-0-387-09620-9"},{"key":"e_1_3_3_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-008-0202-9"},{"key":"e_1_3_3_11_1","doi-asserted-by":"crossref","unstructured":"[10]D.\u00a0Gilbarg and N.S.\u00a0Trudinger Elliptic Partial Differential Equations of Second Order Classics in Mathematics Springer Berlin 2001.","DOI":"10.1007\/978-3-642-61798-0"},{"key":"e_1_3_3_12_1","unstructured":"[11]J.\u00a0Happel and H.\u00a0Brenner Low Reynolds Number Hydrodynamics with Special Applications to Particulate Media Prentice-Hall Inc. 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