【摘要】 本文以气体动力学方程组自模间断解的展平问题为背景,讨论了常微分方程组奇摄动边值问题的解按小参数ε>0的渐近展开,其中“u~±,v~±是已知实数,而p′(v)是已知的适当光滑函数,p′(v)<0,p″(v>0。更多还原

【Abstract】 Taking the problem of smoothing the discontinuous self-similar solutions of the system of Gas Dynamics equations as a research background, in this paper we discussed the asymptotic expansion of the solutions of the singular perturbation boundary value problem for the system of the ordinary equations εu″=-ξu′+p′(v)v′, ξv′+u′=0, u(±∞)=u~±, v(±∞)=v~± with respect to the small parameter ε.更多还原