论文标题
耗散波数和电子水力学的规律性
Dissipation wavenumber and regularity for electron magnetohydrodynamics
论文作者
论文摘要
我们考虑具有静态背景离子流的电子磁水动力学（MHD）。 $ b（x，y，t）= \ nabla \ times（a \ vec e_z）+b \ vec e_z $带有标量词的功能$ a（x，x，y，t）$和$ b（x，x，y，t）$的特殊情况在物理论文中研究了[7]。作者从数值模拟中得出结论，没有证据表明电子MHD耗散截止。在本文中，我们显示了确定电子MHD的波数的存在，并仅在溶液的低模式上建立规律性条件。我们的结果表明，关于电子MHD的耗散截止的物理学论文的结论是有争议的。
We consider the electron magnetohydrodynamics (MHD) with static background ion flow. A special situation of $B(x,y,t)=\nabla\times (a\vec e_z)+b \vec e_z$ with scalar-valued functions $a(x,y,t)$ and $b(x,y,t)$ was studied numerically in the physics paper [7]. The authors concluded from numerical simulations that there is no evidence of dissipation cutoff for the electron MHD. In this paper we show the existence of determining wavenumber for the electron MHD, and establish a regularity condition only on the low modes of the solution. Our results suggest that the conclusion of the physics paper on the dissipation cutoff for the electron MHD is debatable.
