38 citations · 64 across the 4 of their papers we have counts for
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Asymptotic analysis of an advection-diffusion equation involving interacting boundary and internal layers
Youcef Amirat, Arnaud Munch
As goes to zero, the unique solution of the scalar advection-diffusion equation , $(x,t)\i…
Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case
Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue o…
Asymptotic behaviour of the inductance coefficient for thin conductors
Rachid Touzani, Youcef Amirat
We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the…
A Two-dimensional eddy current model using thin inductors
Youcef Amirat, Rachid Touzani
We derive a mathematical model for eddy currents in two dimensional geometries where the conductors are thin domains. We assume that the current flows in the -direction and t…