On Moffatt’s Magnetic Relaxation Equations
On Moffatt’s Magnetic Relaxation Equations
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DOI：
10.1007/s00220-021-04289-3
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发表时间：
2021-04
影响因子：
2.4
通讯作者：
Rajendra Beekie;S. Friedlander;V. Vicol
中科院分区：
文献类型：
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作者：
Rajendra Beekie;S. Friedlander;V. Vicol
我们研究了Moffatt提出的一系列磁弛豫方程的稳定性。这些模型保留了磁流线的拓扑结构，包含立方非线性，但具有可转换的能量结构。我们考虑这些模型的局部和全局时间适定性，并建立了弱规范和强规范的行为之间的差异。
We investigate the stability properties for a family of equations introduced by Moffatt to model magnetic relaxation. These models preserve the topology of magnetic streamlines, contain a cubic nonlinearity, and yet have a favorableenergy structure. We consider the local and global in time well-posedness of these models and establish a difference between the behavior aswith respect to weak and strong norms.