节点文献
欧拉方程组径向对称正规解的爆破
Blowup of the radial symmetric regular solution for the Euler equations
【摘要】 研究了N维可压缩欧拉方程组真空问题径向对称正规解的爆破问题,利用积分法得出该问题非平凡径向对称正规解(ρ,V)在有限时间T=2∫R20φ2(r)φ′(r)drH0-1内发生爆破.
【Abstract】 The blowup of the radial symmetric regular solutions for the N-dim compressible Euler equations is studied,while the initial flow is vacuum outside a ball.Under some assumptions,it is shown that the nontrivial classical solutions(ρ,V)blowup on or before the finite time T=2∫R20φ2(r)φ′(r)drH0-1.
【关键词】 欧拉方程组;
径向对称;
正规解;
积分法;
爆破;
【Key words】 Euler equations; radial symmetry; regular solution; integration method; blowup;
【Key words】 Euler equations; radial symmetry; regular solution; integration method; blowup;
【基金】 国家自然科学基金资助项目(11161021,61262031,11326139);江西省科技厅项目(20142BAB211010)
- 【文献出处】 东北师大学报(自然科学版) ,Journal of Northeast Normal University(Natural Science Edition) , 编辑部邮箱 ,2016年02期
- 【分类号】O175.2
- 【下载频次】18