{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:49:17Z","timestamp":1777448957933,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2012,9,1]],"date-time":"2012-09-01T00:00:00Z","timestamp":1346457600000},"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":[[2012,9]]},"abstract":"<jats:p>\n                    We show that the variational limit of a \u03b5-soft and thin junction problem (\ud835\udcab\n                    <jats:sub>\u03b5<\/jats:sub>\n                    ) with sources concentrated in the junction gives rise to a surface energy mixing the internal energy and sources. The surface energy functional possesses an integral representation with respect to the gradient Young-concentration measures generated by sequences (\u016b\n                    <jats:sub>\u03b5<\/jats:sub>\n                    )\n                    <jats:sub>\u03b5&gt;0<\/jats:sub>\n                    of minimizers of (\ud835\udcab\n                    <jats:sub>\u03b5<\/jats:sub>\n                    ).\n                  <\/jats:p>","DOI":"10.3233\/asy-2012-1102","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:23:05Z","timestamp":1575055385000},"page":"303-323","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["A mixing effect induced by sources concentrated in a soft junction and the gradient concentration phenomenon"],"prefix":"10.1177","volume":"79","author":[{"given":"Anne-Laure","family":"Bessoud","sequence":"first","affiliation":[{"name":"IMATH, EA 2134, Universit\u00e9 du Sud Toulon-Var, B\u00e2timent U, BP 20132-83957 La Garde Cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pongpol","family":"Juntharee","sequence":"additional","affiliation":[{"name":"LMGC, UMR-CNRS 5508, Universit\u00e9 Montpellier II, Case courier 048, Place Eug\u00e8ne Bataillon, 34095 Montpellier Cedex 5, France"},{"name":"I3M, UMR-CNRS 5149, Universit\u00e9 Montpellier II, Case courier 051, Place Eug\u00e8ne Bataillon, 34095 Montpellier Cedex 5, France and MIPA, Universit\u00e9 de N\u00eemes, N\u00eemes Cedex 1, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Licht","sequence":"additional","affiliation":[{"name":"LMGC, UMR-CNRS 5508, Universit\u00e9 Montpellier II, Case courier 048, Place Eug\u00e8ne Bataillon, 34095 Montpellier Cedex 5, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00e9rard","family":"Michaille","sequence":"additional","affiliation":[{"name":"I3M, UMR-CNRS 5149, Universit\u00e9 Montpellier II, Case courier 051, Place Eug\u00e8ne Bataillon, 34095 Montpellier Cedex 5, France and MIPA, Universit\u00e9 de N\u00eemes, N\u00eemes Cedex 1, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2012,9,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1102","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1102","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:35Z","timestamp":1777379975000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2012-1102"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["10.3233\/ASY-2012-1102"],"URL":"https:\/\/doi.org\/10.3233\/asy-2012-1102","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9]]}}}