Analysis of a multistate control problem related to food technology

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Alvarez-Vazquez, Lino J.¹  Fernandez, Francisco J.²  Munoz-Sola, Rafael² 

[1] Univ Vigo, Dept Matemat Aplicada 2, ETSI Telecomunicac, Vigo 36310, Spain

[2] Univ Santiago de Compostela, Fac Matemat, Dept Matemat Aplicada, Santiago 15706, Spain

关键词: optimal control;    multistate;    uniqueness;    existence;    food technology;   

DOI  :  10.1016/j.jde.2008.03.022

来源: Elsevier

【 摘 要 】

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 beat 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 problem mathematical formulation-the uniqueness of part of the state, and the existence of optimal solutions. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free