{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:47:15Z","timestamp":1777448835882,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2010,9,1]],"date-time":"2010-09-01T00:00:00Z","timestamp":1283299200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:p>\n                    The asymptotic behavior in a layer-like domain of weak solutions with nonzero fluxes for the Dirichlet problem of the stationary Navier\u2013Stokes system is investigated. If the data decay sufficiently fast, then first three asymptotic terms of any solution which grows at infinity not \u201ctoo fast\u201d have the same structure as those for the linear Stokes problem. The first asymptotic term which occurs due to the nonlinearity is of order |x|\n                    <jats:sup>\u22123<\/jats:sup>\n                    at infinity in the velocity part; it is constructed explicitly. The results are obtained without any assumption on the smallness of the data.\n                  <\/jats:p>","DOI":"10.3233\/asy-2010-1000","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:13:00Z","timestamp":1575054780000},"page":"219-231","source":"Crossref","is-referenced-by-count":3,"title":["Asymptotics of solutions to the Navier\u2013Stokes system with nonzero flux in a layer-like domain"],"prefix":"10.1177","volume":"69","author":[{"given":"K.","family":"Pileckas","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, Vilnius, 2006 Lithuania. E-mail: pileckas@ktl.mii.lt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Specovius-Neugebauer","sequence":"additional","affiliation":[{"name":"Fachbereich 17 Mathematik, Universit\u00e4t Kassel, Heinrich Plett Str. 40, D-34132 Kassel, Germany. E-mail: specovi@mathematik.uni-kassel.de URL: http:\/\/www.mathematik.uni-kassel.de\/~specovi\/"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2010,9,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1000","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1000","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:07Z","timestamp":1777379947000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1000"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["10.3233\/ASY-2010-1000"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1000","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}