论文标题
对可压缩欧拉方程的螺旋性保护的分析验证
Analytical validation of the helicity conservation for the compressible Euler equations
论文作者
论文摘要
在[25]中，莫法特（Moffatt）在无粘性流体中介绍了螺旋性的概念，并检查了光滑溶液的螺旋性保留到压缩压缩流。在本文中，显示出上述系统的弱解决方案在onsager类型空间中$ \ dot {b}^{1/3} _ {p，c（\ mathbb {n}）} $保证螺旋性的保护。还获得了均质不可压缩的欧拉方程和表面准地藻方程的平行结果。
In [25], Moffatt introduced the concept of helicity in an inviscid fluid and examined the helicity preservation of smooth solution to barotropic compressible flow. In this paper, it is shown that the weak solutions of the above system in Onsager type spaces $\dot{B}^{1/3}_{p,c(\mathbb{N})}$ guarantee the conservation of the helicity. The parallel results of homogeneous incompressible Euler equations and the surface quasi-geostrophic equation are also obtained.
