{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:47:56Z","timestamp":1777448876512,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2010,12,1]],"date-time":"2010-12-01T00:00:00Z","timestamp":1291161600000},"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":[[2010,12]]},"abstract":"<jats:p>\n                    In this work we justify the way to set the boundary conditions by certain numerical methods to solve convection\u2013diffusion problems, in particular convection\u2013diffusion problems that appear in turbulence models. To do it, we analyze the limit of convection\u2013diffusion equations when the total flux is imposed in the inflow boundary, and Newmann boundary conditions are imposed in the remaining of the boundary. We prove that the solution converges in L\n                    <jats:sup>2<\/jats:sup>\n                    to the solution of the pure convection problem, with Dirichlet boundary conditions in the inflow boundary, in both the steady and evolution problems. In addition, the convective derivatives also converge in L\n                    <jats:sup>2<\/jats:sup>\n                    , and the convective traces in the inflow and outflow boundaries converge in spaces of L\n                    <jats:sup>2<\/jats:sup>\n                    kind.\n                  <\/jats:p>","DOI":"10.3233\/asy-2010-1008","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:14:13Z","timestamp":1575054853000},"page":"141-154","source":"Crossref","is-referenced-by-count":1,"title":["Analysis of a singular limit of boundary conditions for convection\u2013diffusion equations"],"prefix":"10.1177","volume":"70","author":[{"given":"Tom\u00e1s","family":"Chac\u00f3n Rebollo","sequence":"first","affiliation":[{"name":"Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain"}]},{"given":"Macarena","family":"G\u00f3mez M\u00e1rmol","sequence":"additional","affiliation":[{"name":"Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico de la Universidad de Sevilla, Sevilla, Spain"}]},{"given":"Isabel","family":"S\u00e1nchez Mu\u00f1oz","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada I de la Universidad de Sevilla, Sevilla, Spain"}]}],"member":"179","published-online":{"date-parts":[[2010,12,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1008","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1008","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:14Z","timestamp":1777379954000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1008"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["10.3233\/ASY-2010-1008"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1008","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}