Homogenization of a Locally Periodic Oscillating Boundary
Artikel i vetenskaplig tidskrift, 2022

This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is prescribed on the oscillating part of the boundary, and the Dirichlet condition on a separate part. It is shown that the homogenization result holds in the sense of weak L2 convergence of the solutions and their flows, under natural hypothesis on the regularity of the domain. The strong L2 convergence of average preserving extensions of the solutions and their flows is also considered.

Homogenization

Oscillating boundary

Periodic unfolding

Locally periodic boundary

Asymptotic analysis

Författare

S. Aiyappan

IIT Hyderabad

Klas Pettersson

Chalmers, Mikroteknologi och nanovetenskap, Kvantteknologi

Applied Mathematics and Optimization

0095-4616 (ISSN) 1432-0606 (eISSN)

Vol. 86 2 14

Ämneskategorier

Beräkningsmatematik

Strömningsmekanik och akustik

Matematisk analys

DOI

10.1007/s00245-022-09873-0

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Senast uppdaterat

2022-07-14