{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:53:22Z","timestamp":1777449202789,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2015,3,1]],"date-time":"2015-03-01T00:00:00Z","timestamp":1425168000000},"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":[[2015,3]]},"abstract":"<jats:p>We prove rigorously the convergence of the Cahn\u2013Larch\u00e9 system, which is a Cahn\u2013Hilliard system coupled with the system of linearized elasticity, to a modified Hele\u2013Shaw problem as long as a classical solution of the latter system exists. By matched asymptotic expansion we construct approximate solutions and estimate the difference between the true and the approximate solutions.<\/jats:p>","DOI":"10.3233\/asy-141268","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:38:42Z","timestamp":1575056322000},"page":"283-340","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Sharp interface limit for the Cahn\u2013Larch\u00e9 system"],"prefix":"10.1177","volume":"91","author":[{"given":"Helmut","family":"Abels","sequence":"first","affiliation":[{"name":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, 93040 Regensburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan","family":"Schaubeck","sequence":"additional","affiliation":[{"name":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Regensburg, 93040 Regensburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,3,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141268","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141268","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:22Z","timestamp":1777380022000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141268"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["10.3233\/ASY-141268"],"URL":"https:\/\/doi.org\/10.3233\/asy-141268","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}