Asymptotic Analysis of a Certain Class of Semilinear Parabolic Problem with Interfacial Contact Resistance

Autor:	Ivy Carol B. Lomerio, Editha C. Jose
Rok vydání:	2017
Předmět:	General Mathematics Weak solution Contact resistance Mathematical analysis Parabolic problem Jump Heat equation Uniqueness Homogenization (chemistry) Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 42:1011-1054
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-017-0532-6
Popis:	In this paper, we consider a time-dependent semilinear parabolic problem modeling the heat diffusion in a two-component composite. The domain has an $$\varepsilon $$ -periodic interface, where the flux of the temperature is proportional to the jump of the temperature field by a factor of order $$\varepsilon ^\gamma $$ . We determine the existence and uniqueness of the weak solution of the problem and use the periodic unfolding method to find the homogenization results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::30db54a668f0ce80ae158d9703baebc1 https://doi.org/10.1007/s40840-017-0532-6 Zobrazit plný text záznamu Full text from SpringerLink