ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

On the Conservation Laws in the Optimal Control Problem for Laminar Boundary Layer of Non-equilibrium Dissociating Gas

Author(s):

Natalya Grigorievna Bilchenko

Candidate of Science in Physics and Mathematics
Researcher of Research Laboratory #16,
Department of Heat Engineering and Power Engineering Machinery,
Kazan National Research Technical University (KNRTU-KAI)
named after A. N. Tupolev.

bilchnat@gmail.com

Abstract:

The problems of mathematical modeling of optimal heat protection of permeable surfaces of hypersonic aircraft in non-equilibrium dissociating gas are considered. The group theory approach to the optimization of systems with distributed parameters is applied. Conservation laws on all operators of the group admissible by a system of nonlinear differential equations of parabolic type are constructed.

Keywords

References:

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