Asymptotic analysis of an advection-diffusion equation and application to boundary controllability
Youcef Amirat, Arnaud Münch · Asymptotic Analysis · 2019
We perform the asymptotic analysis of the scalar advection-diffusion equation [Formula: see text], [Formula: see text], [Formula: see text], with respect to the diffusion coefficient ε. We use the matched asymptotic expansion method which allows to describe the boundary layers of the solution. We then use the asymptotics to discuss the controllability property of the solution for [Formula: see text].