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带阻尼项的维可压缩欧拉方程组经典解的爆破
Blowup for the Classical Solutions of the n-dimensional Compressible Euler Equations with Damping
【摘要】 研究了维空间中带线性阻尼项的非等熵可压缩欧拉方程组Cauchy问题的经典解的爆破。通过构造三个适当的泛函,当初始泛函足够大时得到了初值问题的经典解必定爆破的结论。
【Abstract】 The blowup of classical solutions for the initial value problem of n- dimensional non- isentropic compressible Euler equations with linear damping is studied. By constructing three appropriate functional,the classical solution of initial- value problem is proved to be blown up in finite time when the initial functional is large enough.
【关键词】 线性阻尼;
非等熵;
欧拉方程组;
泛函;
经典解;
爆破;
【Key words】 linear damping; non-isentropic; Euler equations; functional; classical solutions; blowup;
【Key words】 linear damping; non-isentropic; Euler equations; functional; classical solutions; blowup;
【基金】 国家自然科学基金(11161021;61262031;61472138)
- 【文献出处】 宜春学院学报 ,Journal of Yichun University , 编辑部邮箱 ,2016年06期
- 【分类号】O175.2
- 【下载频次】19