Hyperbolic Partial Differential Equations
Hyperbolic Partial Differential Equations
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DOI：
10.5860/choice.47-4468
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发表时间：
2004
期刊：
影响因子：
6.8
通讯作者：
P. Lax
中科院分区：
文献类型：
--
作者：
P. Lax
与不可逆物理过程（如扩散和热传导）相关的演化方程导致抛物型偏微分方程。当方程是可逆物理过程的模型时，如声波或电磁波的传播，则演化方程通常是双曲的。数学模型通常开始于一个守恒声明，即牛顿第二定律的某个版本
Evolution equations associated with irreversible physical processes like diffusion and heat conduction lead to parabolic partial differential equations. When the equation is a model for a reversible physical process like propagation of acoustic or electromagnetic waves, then the evolution equation is generally hyperbolic. The mathematical models usually begin with a conservation statement that is some version of Newton’s second law d dt mV⃗ = F⃗