{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:52:06Z","timestamp":1777449126875,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"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":[[2014,7]]},"abstract":"<jats:p>\n                    We study in the whole space R\n                    <jats:sup>n<\/jats:sup>\n                    the behaviour of solutions to the Boussinesq equations at large distances. Therefore, we investigate the solvability of these equations in weighted L\n                    <jats:sup>\u221e<\/jats:sup>\n                    -spaces and determine the asymptotic profile for sufficiently fast decaying initial data. For n=2,3 we are able to construct initial data such that the velocity exhibits an interesting concentration\u2013diffusion phenomenon.\n                  <\/jats:p>","DOI":"10.3233\/asy-131211","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:32:56Z","timestamp":1575055976000},"page":"17-41","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Concentration\u2013diffusion phenomena of heat convection in an incompressible fluid"],"prefix":"10.1177","volume":"88","author":[{"given":"Reinhard","family":"Farwig","sequence":"first","affiliation":[{"name":"Department of Mathematics, Darmstadt University of Technology, 64283 Darmstadt, Germany. E-mail: farwig@mathematik.tu-darmstadt.de"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Raphael","family":"Schulz","sequence":"additional","affiliation":[{"name":"Mathematics Department, University of Erlangen-Nuremberg, 91058 Erlangen, Germany. E-mail: raphael.schulz@math.fau.de"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masao","family":"Yamazaki","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science and Engineering, Waseda University, Tokyo, Japan. E-mail: masao.yamazaki@waseda.jp"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,7,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131211","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131211","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:07Z","timestamp":1777380007000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-131211"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["10.3233\/ASY-131211"],"URL":"https:\/\/doi.org\/10.3233\/asy-131211","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7]]}}}