| 可压缩欧拉方程解的blowup现象 |
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| 引用本文： | 梁之磊. 可压缩欧拉方程解的blowup现象[J]. 厦门大学学报(自然科学版), 2012, 51(4): 657-659 |
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| 作者姓名： | 梁之磊 |
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| 作者单位： | 西南财经大学经济数学学院,四川成都,611130 |
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| 摘 要： | 考虑带有温度项的可压缩欧拉方程解的大时间行为.通过引入特殊的速度函数u(x,t)＝c(t)x+b(t),其中b(t)可看作时间扰动项,得到一类显式光滑解.进而来研究欧拉方程解的blowup现象和整体存在性.
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| 关 键 词： | 可压缩欧拉方程 blowup现象 光滑解 |
Blowup Phenomena of Solutions for the Full Compressible Euler Equations |
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| LIANG Zhi-lei. Blowup Phenomena of Solutions for the Full Compressible Euler Equations[J]. Journal of Xiamen University(Natural Science), 2012, 51(4): 657-659 |
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| Authors: | LIANG Zhi-lei |
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| Affiliation: | LIANG Zhi-lei(School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 611130,China) |
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| Abstract: | We consider the compressible Euler equations.By assuming the velocity u(x,t)=c(t)x+b(t),with b(t) being a pertubation function,we obtain a family of analytical explicit solutions.Moreover,large time behaviors such as blowup and global existence are presented. |
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| Keywords: | compressible Euler equations blowup phenomena analytical solutions |
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