一维空气动力学方程组解的局部存在性及其数值计算

doi:10.12286/jssx.1984.3.250

计算数学 ›› 1984, Vol. 6 ›› Issue (3): 250-260.DOI: 10.12286/jssx.1984.3.250

一维空气动力学方程组解的局部存在性及其数值计算

茅德康

上海科技大学数学系

出版日期:1984-03-14 发布日期:1984-03-14

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茅德康. 一维空气动力学方程组解的局部存在性及其数值计算[J]. 计算数学, 1984, 6(3): 250-260.

EXISTENCE OF LOCAL SOLUTION TO AERODYNAMICS EQUATIONS IN ONE DIMENSION AND ITS NUMERICAL CALCULATION

Mao De-kang Shanghai University of Science and Technology

Online:1984-03-14 Published:1984-03-14

一、引言本文讨论了下面的空气动力学方程组:

In this paper, the system of equations of aerodynamics for perfect gas is discuss-ed. First, by using the energy method for difference equations, the theorems of Sobo-lev space and proper selection of the convergent subsequence, the existence of the localsolution to the periodic boundary value problem for the system of partial differentialequations is proved. Then, the problem of numerical calculation by difference schemesis discussed. Also by using the energy method for difference equations, the theoremof convergence is proved and the error estimated; thereby the uniqueness of the systemof partial differential equations is obtained.

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摘要

一维空气动力学方程组解的局部存在性及其数值计算

EXISTENCE OF LOCAL SOLUTION TO AERODYNAMICS EQUATIONS IN ONE DIMENSION AND ITS NUMERICAL CALCULATION

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