Well posedness of the model of an extruder in infinite dimension

Author

Diagne, Mamadou ; Martins, Valérie Dos Santos ; Couenne, Françoise ; Maschke, Bernhard

Author_Institution

Univ. de Lyon, Lyon, France

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

1311

Lastpage

1316

Abstract

The topic of this paper is to present and analyse a physical model of the extrusion process which is expressed two systems of conservation laws (with source terms) coupled by a moving interface whose relation is derived from the conservation of momentum. After a change of variables on the spatial variables is performed in order to transform the time-varying spatial domain in fixed one, the linearisation of the model around an equilibrium profile is given, the well-posedness in the sense of the existence of a C₀-semigroup of those the coupled systems is proven.

Keywords

extrusion; partial differential equations; production equipment; conservation laws; coupled systems; equilibrium profile; extruder; infinite dimension; model linearisation; momentum conservation; moving interface; spatial variables; time-varying spatial domain; Analytical models; Boundary conditions; Fasteners; Mathematical model; Moisture; Space heating; Viscosity; Coupled systems of conservation laws; Distributed parameter system; Well-posedness; infinite dimensional system;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161288

Filename

6161288