Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface

This paper is concerned with the well posedness and homogenization for a multiscale parabolic problem in a cylinder Q of R N . A rapidly oscillating non-smooth interface inside Q separates the cylinder in two heterogeneous connected components. The interface has a periodic microstructure, and it is...

Full description

Saved in:
Bibliographic Details
Published in:Archive of applied mechanics (1991) 2019-03, Vol.89 (3), p.437-465
Main Authors: Donato, Patrizia, Jose, Editha C., Onofrei, Daniel
Format: Article
Language:English
Subjects:
Boundary conditions
Classical Mechanics
Cylinders
Dirichlet problem
Engineering
Heat transmission
Hyperplanes
Multiscale analysis
Special
Theoretical and Applied Mechanics
Time dependence
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper is concerned with the well posedness and homogenization for a multiscale parabolic problem in a cylinder Q of R N . A rapidly oscillating non-smooth interface inside Q separates the cylinder in two heterogeneous connected components. The interface has a periodic microstructure, and it is situated in a small neighborhood of a hyperplane which separates the two components of Q . The problem models a time-dependent heat transfer in two heterogeneous conducting materials with an imperfect contact between them. At the interface, we suppose that the flux is continuous and that the jump of the solution is proportional to the flux. On the exterior boundary, homogeneous Dirichlet boundary conditions are prescribed. We also derive a corrector result showing the accuracy of our approximation in the energy norm.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-018-1415-5