arXiv subjects

A. Ainouz

Publications and source records attributed to A. Ainouz.

2 recordsLinked to original sources

arXiv2020

Two-scale analysis of a non standard transmission problem in two-component media

In this short paper, periodic homogenization of a steady heat flow in two-component media with highly adhesive contact is performed via the two-scale convergence technique. Our micro-model is based on mass conservation for the heat flow in each phase with interfacial contact of adhesive type between these constituents. It is shown that the macroscopic model is a single phase elliptic equation.

math.AP↗

arXiv2012

The Riemann-Hilbert problem for elliptic vector fields with degeneracies

The Riemann-Hilbert boundary value problem is studied for a class of planar complex vector fields $L$ in a simply connected open set $\Om\subset\R^2$. The first integrals of $L$ are used to reduce the problem into a collection of classical Riemann-Hilbert problems with discontinuous data.

math.AP↗