Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 4, Pages 339-361
doi:10.1155/S1048953392000297
Abstract
Transpiration control can avoid change of the shape of a high-speed vehicle resulting from ablation of the nose, therefore also can avoid
the change of the performance of Aerodynamics. Hence it is of practical
importance. A set of mathematical equations and their boundary
conditions are founded and justified by an example of non-ablation
calculation in reference [1]. In [2], the ablation model is studied by the
method of finite differences, the applicable margin of the equations is
estimated through numerical calculation, and the dynamic responses of
control parameters are analyzed numerically. In this paper we prove
that the solution to transpiration control problem given in [1] exists
uniquely under the assumption that the given conditions (i.e. given
functions) are continuous.