Global-in-time existence results for the two-dimensional Hasegawa–Wakatani equations
Global-in-time existence results for the two-dimensional Hasegawa–Wakatani equations
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DOI：
10.1007/s10231-018-0750-z
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发表时间：
2018-04
期刊：
影响因子：
--
通讯作者：
Shintaro Kondo
中科院分区：
文献类型：
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作者：
Shintaro Kondo
为了描述核聚变等离子体中出现的阻性漂移波湍流，长谷川-Wakatani(HW)方程于1983年提出。我们考虑了具有多种结构的二维HW方程(即，它们解释了二维等离子体中湍流和带状流动中的分支现象)和包括温度涨落的广义HW方程。证明了具有双周期边界条件的二维HW方程和广义HW方程的整体强解的存在唯一性。
In order to describe the resistive drift wave turbulence appearing in nuclear fusion plasma, the Hasegawa–Wakatani (HW) equations were proposed in 1983. We consider the two-dimensional HW equations, which have numerous structures (that is, they explain the branching phenomenon in turbulent and zonal flow in a two-dimensional plasma) and the generalized HW equations that include temperature fluctuation. We prove the global-in-time existence of a unique strong solution to both the HW equations and the generalized HW equations in a two-dimensional domain with double periodic boundary conditions.