| 三维空间中带非线性阻尼项的等熵欧拉方程组轴对称解的爆破 |
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| 引用本文： | 熊显萍,罗朝辉. 三维空间中带非线性阻尼项的等熵欧拉方程组轴对称解的爆破[J]. 数学的实践与认识, 2017, 0(5): 260-266 |
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| 作者姓名： | 熊显萍 罗朝辉 |
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| 作者单位： | 贵州省兴义民族师范学院数学科学学院,贵州兴义,562400 |
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| 基金项目： | 贵州省教育厅2014自然科学基金项目(黔教合KY字[2014]291号)，国家自然科学基金(11161021) |
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| 摘 要： | 研究了三维空间中带非线性阻尼项的可压缩等熵欧拉方程组Dirichlet初边值问题.采用泛函方法,定义几种不同的泛函,当初始速度足够大时分别得到了经典解在某一时间内必定爆破的结论.由于出现了非线性阻尼项,较之线性阻尼的情形,经典解爆破的难度随之增加.
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| 关 键 词： | 非线性阻尼项 等熵欧拉方程组 轴对称 爆破 |
Blowup of the Axisymmetric Solutions for the IBVP of the Compressible Isentropic Euler Equations with Damping |
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| XIONG Xian-ping,LUO Chao-hui. Blowup of the Axisymmetric Solutions for the IBVP of the Compressible Isentropic Euler Equations with Damping[J]. Mathematics in Practice and Theory, 2017, 0(5): 260-266 |
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| Authors: | XIONG Xian-ping LUO Chao-hui |
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| Abstract: | The blowup of axisymmetric solutions for the initial-boundary value problem of the compressible isentropic Euler equations with nonlinear damping in R3 is investigated in this paper.We show by functional methods that classical solutions will blow up before a certain time under the assumption that the functional associated with the initial velocity is sufficiently large.Compared to the linear damping case,the damping increased the difficulty of the blowup of the classical solution. |
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| Keywords: | nonlinear damping isentropic Euler equations axisymmetric solutions blowup |
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