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Diego Zhang

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In order to help the reading of the next chapters, a quick classification of various mathematical problems encountered in the modelization of physical phenomena is proposed in the present chapter.	为了帮助下一章的阅读，本章将对物理现象建模中遇到的各种数学问题进行快速分类
More precisely, the problems considered in this chapter are those that can be reduced to the finding of the solution of a partial differential equation (PDE).	更确切地说，本章所讨论的问题可以归结为求偏微分方程(PDE)的解。
Indeed, for many physicists, to provide a model of a phenomenon means to provide a PDE describing this phenomenon.	的确，对于许多物理学家来说，提供一个现象的模型意味着提供一个描述这个现象的PDE。
They can be boundary problems, spectral problems, evolution problems.	它们可以是边界问题，光谱问题，进化问题。
General ideas about the methods of exact and approximate solving of those PDE is also proposed[1].	对PDE的精确解和近似解的方法也提出了的总体思路。
This chapter contains numerous references to the "physical" part of this book which justify the interest given to those mathematical problems.	这一章包含了大量关于本书“物理”部分的参考资料，证明了对那些数学问题的兴趣。
In classical books about PDE, equations are usually classified into three categories: hyperbolic, parabolic and elliptic equation.	在有关偏微分方程的经典著作中，常将方程分为双曲方程、抛物线方程和椭圆方程三类。
This classification is connected to the proof of existence and unicity of the solutions rather than to the actual way of obtaining the solution.	这种分类是为了证明解的存在性和唯一性，而非得到解的实际方法。
We present here another classification connected to the way one obtains the solutions: we distinguish mainly boundary problems and evolution problems.	我们在这里提出了另一种与求解方法有关的分类:我们主要区分边界问题和演化问题。

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Translated 9 translation units
in the fields of mathematics and physics

Language pair: English to Chinese

Jun 02, 2019

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