Remarks on the preceding paper by Crespo, Ivorra and Ramos on the stability of bioreactor processes

Abstract

In this short note we indicate some improvement of an article published in this journal by Crespo, Ivorra and Ramos [6]. The techniques used are connected with several smoothing effects associated with linear partial differential operators which give rise to some accretive operators in $L^1(\Omega )$, as well as with some $H^2(\Omega )$ estimates independent on time.

Keywords

• Asymptotic stability
• advection-diffusion-reaction system
• continuous bioreactor
• accretive operator
• smoothing effects for parabolic equations