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

Abstract

© 2017, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. In this paper, we consider a time-dependent semilinear parabolic problem modeling the heat diffusion in a two-component composite. The domain has an ε-periodic interface, where the flux of the temperature is proportional to the jump of the temperature field by a factor of order εγ. We determine the existence and uniqueness of the weak solution of the problem and use the periodic unfolding method to find the homogenization results.

Source or Periodical Title

Bulletin of the Malaysian Mathematical Sciences Society

ISSN

1266705

Page

1011-1054

Document Type

Article

Subject

Homogenization and correctors, Interface problem, Periodic unfolding method, Semilinear problem

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