| 拟线性双曲方程的两种Blowup机制 |
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| 引用本文： | 季小东,郑琴,何春.拟线性双曲方程的两种Blowup机制[J].解放军理工大学学报,2002,3(5):99-102. |
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| 作者姓名： | 季小东 郑琴 何春 |
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| 作者单位： | [1]解放军理工大学理学院，江苏南京211101 [2]解放军理工大学气象学院，江苏南京211101 |
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| 摘 要： | 对于一般的初值，拟线性双曲方程不一定存在整体经典解，若不存在整体经典解，则解在有限时间内blowup。主要考虑几种特殊的Burgers方程，讨论其经典解的存在区间以及解发生blowup时，几何blowup与常微blowup之间的先后顺序。
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| 关 键 词： | 拟线性双曲方程 Blowup机制 Burgers方程 几何blowup 常微blowup 整体经典解 |
| 文章编号： | 1009-3443(2002)05-0099-04 |
Two Kinds of Blowup Mechanism of Quasilinear Hyperbolic System |
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| JI Xiao dong,ZHENG Qin and HE Chun.Two Kinds of Blowup Mechanism of Quasilinear Hyperbolic System[J].Journal of PLA University of Science and Technology(Natural Science Edition),2002,3(5):99-102. |
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| Authors: | JI Xiao dong ZHENG Qin and HE Chun |
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| Institution: | JI Xiao dong 1,ZHENG Qin 1,HE Chun 2 |
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| Abstract: | For general initial value, quasilinear hyperbolic system does not always involves the whole classical solution. If there is no whole classical solution, solution blows up in finite time. This paper mostly considers some kinds of special Burgers equation and discusses lifespan of its classical solution and order between geometric blowup and ordinary differential blowup when solution blows up. |
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| Keywords: | Burgers equation geometric blowup ordinary differential blowup |
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