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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

Guo Bao Zhu

Institute of Systems Science, Academia Sinica, Beijing, China

Received 1 October 1992; Revised 1 March 1993

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.