Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 2, Pages 161-179
doi:10.1155/S1048953393000152
Rothe approach to the existence of solution of an
ablation-transpiration cooling control system
Institute of Systems Science, Academia Sinica, Beijing, China
Received 1 October 1992; Revised 1 March 1993
Copyright © 1993 Guo Bao Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A one dimensional ablation model with transpiration cooling
control and nonlinear effect is studied, which is a distributed parameter
control system with moving boundary and both governing equation and
boundary conditions involving control variable. A solution is given by a
Rothe approximation scheme.