Well‐posedness and exact controllability of the mass balance equations for an extrusion process |
| |
| Authors: | Mamadou Diagne Peipei Shang Zhiqiang Wang |
| |
| Institution: | 1. Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA;2. Department of Mathematics, Tongji University, Shanghai, China;3. School of Mathematical Sciences, Fudan University, Shanghai, China |
| |
| Abstract: | In this paper, we study the well‐posedness and exact controllability of a physical model for an 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. Copyright © 2015 John Wiley & Sons, Ltd. |
| |
| Keywords: | conservation law free boundary well‐posedness controllability extruder model subclass35L65 35Q79 35R37 95B05 |
|
|
