Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach

Hagop Karakazian, Toni Sayah, Faouzi Triki

In this paper we consider the time dependent Porous Medium Equation, $u_t=\Delta u^{\gamma }$ with real polytropic exponent $\gamma >1$, subject to a homogeneous Dirichlet boundary condition. We are…