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Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 2, Pages 161-179

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 Hindawi Publishing Corporation. 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.


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.