论文标题
Hall MHD具有间歇性依赖性的二元模型
Dyadic models with intermittency dependence for the Hall MHD
论文作者
论文摘要
我们通过将间歇性维度作为参数（参数）来得出具有HALL效应的磁性水力动力学的二元模型。对于此类二元模型，建立了全球弱解决方案的存在。另外，还获得了局部强溶液。在高间歇性维度的情况下，获得了全球强大的解决方案。此外，我们表明，具有较大初始数据的积极解决方案在有限的时间内会在有限的时间内形成爆炸。
We derive dyadic models for the magnetohydrodynamics with Hall effect by including the intermittency dimension as a parameter. For such dyadic models, existence of global weak solutions is established. In addition, local strong solution is obtained; while global strong solution is obtained in the case of high intermittency dimension. Moreover, we show that positive solution with large initial data develops blow-up in finite time provided the intermittency dimension is lower than a threshold.
