Asymptotic Decomposition of Partial Differential Equations

Asymptotic Decomposition of Partial Differential Equations
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偏微分方程的渐近分解

DOI:
10.1137/0135048
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发表时间:
1978
影响因子:
1.9
通讯作者:
E. Zauderer
E. Zauderer
中科院分区:
数学4区
文献类型:
--
作者:
E. Zauderer

文献摘要

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考虑与这些系统的“主要部分”的分解相对应的偏微分方程组的渐近分解。主要部分要么是系统中的最高导数项,要么是当给定系统中的小参数设置为零时产生的简化系统。给出了在线性和弱非线性系统中的应用。
Asymptotic decompositions of systems of partial differential equations which correspond to decompositions of the “principal parts” of these systems are considered. The principal parts are either the highest derivative terms in the system or the reduced system which results when a small parameter in the given system is set equal to zero. Applications to linear and weakly nonlinear systems are given.