中文

二维环面上欧拉方程的无限时间指数增长

偏微分方程分析 2016-08-26 v1

摘要

对于任意 A>2A > 2,我们在环面 T2\mathbb{T}^2 上构造了二维不可压缩欧拉方程的解,其涡度梯度 ω\nabla\omega 在时间上呈指数增长:ω(t,)LeAt, t0.\|\nabla\omega(t, \cdot)\|_{L^\infty} \gtrsim e^{At},\quad \forall\ t \geq 0.

关键词

引用

@article{arxiv.1608.07010,
  title  = {Infinite-time Exponential Growth of the Euler Equation on Two-dimensional Torus},
  author = {Zhen Lei and Jia Shi},
  journal= {arXiv preprint arXiv:1608.07010},
  year   = {2016}
}

备注

9 pages. arXiv admin note: text overlap with arXiv:1310.4799 by other authors