Nonlinearity, conservation law and shocksPart I: Genuine nonlinearity and discontinuous solutions

被引：0
|
作者：
Phoolan Prasad
机构：
[1] Indian Institute of Science,Department of Mathematics
来源：
Resonance | 1997年 / 2卷 / 4期
关键词：
Shock Wave; Partial Differential Equation; Smooth Solution; Line Density; Spatial Interval;
D O I：
10.1007/BF02919624
中图分类号：
学科分类号：
摘要：
We present in two parts, a mathematical theory of conservation laws using the language of physics. In Part I we explain the concept of a special type of nonlinearity which appears in an important class of evolutionary processes governed by hyperbolic partial differential equations. For simplicity, we develop the theory using a simple model equation. We show that it is possible to extend the concept of solutions with discontinuities with the help of a conservation form of the equation.
引用
收藏
页码：8 / 18
页数：10
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