{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:44:42Z","timestamp":1762674282054,"version":"3.38.0"},"reference-count":49,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2019,2,13]],"date-time":"2019-02-13T00:00:00Z","timestamp":1550016000000},"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":[[2019,2,13]]},"abstract":"<jats:p> We study the asymptotic behavior of the effective thermal conductivity of a periodic two-phase dilute composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material, each of them of size proportional to a positive parameter \u03f5. We assume that the normal component of the heat flux is continuous at the two-phase interface, while we impose that the temperature field displays a jump proportional to the normal heat flux. For \u03f5 small, we prove that the effective conductivity can be represented as a convergent power series in \u03f5 and we determine the coefficients in terms of the solutions of explicit systems of integral equations. <\/jats:p>","DOI":"10.3233\/asy-181495","type":"journal-article","created":{"date-parts":[[2019,2,15]],"date-time":"2019-02-15T15:21:14Z","timestamp":1550244074000},"page":"217-250","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface"],"prefix":"10.1177","volume":"111","author":[{"given":"Matteo","family":"Dalla Riva","sequence":"first","affiliation":[{"name":"Department of Mathematics, The University of Tulsa, 800 South Tucker Drive, Tulsa, Oklahoma 74104, USA. E-mail:\u00a0"},{"name":"Department of Mathematics, Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK"}]},{"given":"Paolo","family":"Musolino","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica \u2018Tullio Levi-Civita\u2019, Universit\u00e0 degli Studi di Padova, Via Trieste 63, Padova 35121, Italy. E-mails:\u00a0,\u00a0"}]},{"given":"Roman","family":"Pukhtaievych","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica \u2018Tullio Levi-Civita\u2019, Universit\u00e0 degli Studi di Padova, Via Trieste 63, Padova 35121, Italy. 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