Open AccessExistence of solution to transpiration control problem
Author(s) -
Guanstian Zhu,
Jingang Wu,
Liang Benzhong,
Xinhua Ji,
Xuewei Yang
Publication year - 1992
Publication title -
journal of applied mathematics and stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 1687-2177
pISSN - 1048-9533
DOI - 10.1155/s1048953392000297
Subject(s) - mathematics , aerodynamics , transpiration , margin (machine learning) , set (abstract data type) , control (management) , boundary (topology) , boundary value problem , ablation , control theory (sociology) , mathematical analysis , mechanics , computer science , engineering , physics , photosynthesis , botany , machine learning , artificial intelligence , biology , programming language , aerospace engineering
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