an:05293346
Zbl 1147.49003
Alvarez-V??zquez, Lino J.; Fern??ndez, Francisco J.; Mu??oz-Sola, Rafael
Analysis of a multistate control problem related to food technology
EN
J. Differ. Equations 245, No. 1, 130-153 (2008).
00222232
2008
j
49J20 35B37 49N90
optimal control; multistate; uniqueness; existence; food technology
Summary: This paper is concerned with an optimal control problem related to the determination of an optimal profile for the steam temperature into the autoclave along the processing of canned foods. The problem studies a system coupling the evolution Navier-Stokes equations with the heat transfer equation by natural convection (the so-called Boussinesq equations), and with the microorganisms removal equation. The essential difficulties in the study of this multistate control problem arise from the lack of uniqueness for the solution of the state system. Here we obtain -- after a careful analysis of the mathematical formulation of the problem -- the uniqueness of part of the state, and the existence of optimal solutions.