Well-posedness and exact controllability of the mass balance equations for an extrusion process
Analysis of PDEs
2016-06-29 v1
Abstract
In this paper, we study the well-posedness and exact controllability of a physical model for a food extrusion process in the isothermal case. The model expresses the mass balance in the extruder chamber and consists of a hyperbolic Partial Differential Equation (PDE) and a nonlinear Ordinary Differential Equation (ODE) whose dynamics describes the evolution of a moving interface. By suitable change of coordinates and fixed point arguments, we prove the existence, uniqueness and regularity of the solution, and finally the exact controllability of the coupled system.
Keywords
Cite
@article{arxiv.1507.03359,
title = {Well-posedness and exact controllability of the mass balance equations for an extrusion process},
author = {Mamadou Diagne and Peipei Shang and Zhiqiang Wang},
journal= {arXiv preprint arXiv:1507.03359},
year = {2016}
}
Comments
19pages, 3figures. arXiv admin note: substantial text overlap with arXiv:1404.3375