1) matched asymtotic expansions
匹配渐近展开式
2) matching asymptotic expansionmethod
匹配渐近展开法
3) matched asymptotic expansion
匹配渐近展开
1.
This paper develops the nonlinear area ruling method applied to lifting configurations by using the matched asymptotic expansion and gives the conservational condition under which the integral strength of the equivalent sources- depending on the lift distribution is equal to zero.
应用匹配渐近展开法推导出有升力物体的跨音速非线性面积律,给出升力效应当量源应满足的守恒条件及其确定方法。
2.
With matched asymptotic expansion, a linear system for first order perturbations was derived formally.
对密闭的一维有限长管道里的等温相变,研究了松弛模型中液气共存平衡态的稳定性· 使用匹配渐近展开形式上推出了一阶扰动满足的线性系统· 理论分析发现,初始小扰动通常会被耗散掉,然而在一些特殊情况下,它们会维持在一定的水平上· 数值计算也表明了松弛机制对相变演化具有稳定作用·
4) asymptotic expansion matched method
渐近展开匹配法
5) asymptotic expansion
渐近展开式
1.
By using the Lindatedt-Poincare method,introducing the transformation of parameter and eliminating the secular terms in the formal solution,the first order uniformly valid asymptotic expansion is obtained.
讨论了一类二阶弱非线性常微分方程,利用Lindstedt-Poincare法,引入参量变换,消去形式解中出现的长期项,得到了解的一阶一致有效的渐近展开式。
2.
In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.
利用匹配渐近展开法 ,讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解 ,得出了奇摄动边值问题的一致有效的零次渐近展开
3.
Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.
研究拟线性双曲型方程柯西问题，在一定假设下，得到解的Ｍ阶一致有效的渐近展开式，并作出余项估计。
6) asymptotic expansions
渐近展开式
1.
In this paperFwe study thesingular perturbation of nonlinear ddifferential equations with two parameters:y = f(x,y, z, ε,μ),y(1,ε,μ) = a(ε,μ)εy" = F(x,y, z, z_1, ε,μ), z (0,ε,μ) = b(ε,μ)z(1,ε,μ) = c(ε,μ)Under some affropriate conditions, using the theory of differential inequalities, we qet the existence of the solution and its asymptotic expansions which is uniformly valid for all orders unti
本文研究一类含有双参数非线性微分方程组的奇摄动,在适当的假设条件下,利用微分不等式理论,证明了摄动解的存在,并给出了解的直到o(sum from k=0 to n+1 ε~(N+1-K)μ~k)阶的一致有效渐近展开式。
2.
My method is to find the new equations and its solutions from the known equations and its solutions,and to find the asymptotic expansions.
给出一类二阶线性方程的求解公式和解的渐近展开式。
补充资料：匹配
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性质：当试图满足目标（或子目标）时，PROLOG总是从程序的顶部出发自上而下扫描寻找匹配。当目标的谓词和所有的自变量恰好与程序中的某语句的谓词和自变量一致时，匹配找到了。当匹配一个自由变量时，PROLOG将其实例化为常量。
CAS号：
性质：当试图满足目标（或子目标）时，PROLOG总是从程序的顶部出发自上而下扫描寻找匹配。当目标的谓词和所有的自变量恰好与程序中的某语句的谓词和自变量一致时，匹配找到了。当匹配一个自由变量时，PROLOG将其实例化为常量。
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