Asymptotic analysis of the mathematical model of the system <<pipeline

Title	Asymptotic analysis of the mathematical model of the system <>
Authors	P. A. Velmisov¹, Y. A. Tamarova¹, N. D. Aleksanin¹, G. A. Ankilov¹ ¹Ulyanovsk State Technical University
Annotation	Mathematical models of the mechanical system <>, designed to control the pressure of the working medium in the combustion chambers of engines, are considered. Asymptotic equations are obtained that describe the joint dynamics of the elastic sensitive element of the pressure sensor and the working medium in the pipeline. Methods for solving the corresponding initial-boundary value problems for systems of differential equations with partial derivatives are developed.
Keywords	sensor, elastic element, pipeline, dynamics, differential equations
Citation	Velmisov P. A., Tamarova Y. A., Aleksanin N. D., Ankilov G. A. ''Asymptotic analysis of the mathematical model of the system <>'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 31-38. Available at: https://conf.svmo.ru/files/2023/papers/paper04.pdf. - Date of access: 19.05.2024.