$L^1$-stability of periodic stationary solutions of scalar convection-diffusion equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219482The aim of this paper is to study the $L^1$-stability of periodic stationary solutions of scalar convection-diffusion equations. We obtain dispersion in $L^2$ for all space dimensions using Kružkov type entropy. And when the space dimension is one, we estimate the number of sign changes of a solution to obtain $L^1$-stability.Analysis of PDEs$L^1$-stability of periodic stationary solutions of scalar convection-diffusion equationstext