Mathematical Sciences: Workshop on Asymptotic Analysis and the Numerical Solution of Nonlinear Differential Equations

这次研究活动是1990年3月在阿贡国家实验室举行的关于“非线性微分方程的渐近分析和数值解”的为期一周的研讨会。该研讨会将主要致力于非线性偏微分方程，因为出现了一个或大或小的参数或临界参数值，是服从渐近分析。重点将放在非线性输运和扩散现象中出现的方程上。这个研究工作坊将集中于应用分析中的某些问题。这些问题通常出现在物理现象的建模中。例子是流体流动与临界雷诺数的建模，通过多孔介质的流动，和燃烧现象。研讨会的目标是推进最近的进展，在综合渐近分析和数值解奇异摄动问题。

This research activity is a one week workshop on 'Asymptotic Analysis and Numerical Solution of Nonlinear Differential Equations' to be held at Argonne National Laboratory in March of 1990. The workshop will be devoted primarily to nonlinear partial differential equations that, because of the occurrence of a large or small parameter or critical parameter values, are amenable to asymptotic analysis. Emphasis will be placed on equations that arise in the context of nonlinear transport and diffusion phenomena. This research workshop will focus on certain problems in applied analysis. The problems typically arise in the modeling of physical phenomena. Examples are the modeling of fluid flow with critical Reynolds number, flow through porous media, and combustion phenomena. The goal of the workshop is to advance recent progress in the synthesis of asymptotic analysis and the numerical solution of singular perturbation problems.