We are interested in the thermal insulation of a body $\Omega$ surrounded by a bulk layer $\Sigma$ of insulating material. We consider a Robin boundary condition on the boundary of $\Sigma$ that does not touch $\Omega$; this corresponds to a model of heat transfer between the insulated body and the environment determined by convection. We will address the problem of proving the existence of an optimal $\Sigma$, and we will study a way to approximate the problem via first-order asymptotic development by $\Gamma$-convergence.
Maxime Laborde