论文标题
具有混合压力磁场的3D不可压缩MHD系统的规则标准
A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
论文作者
论文摘要
鉴于Lorentz的空间，这项工作着重于具有混合压力性磁性场的3D不可压缩磁性水力动力学（MHD）方程。我们的主要结果表明弱解决方案是规则的，但前提 L}^{p}(0,T;L^{q,\infty }(\mathbb{R}^{3})),\text{ where }\frac{2}{p}+\frac{3}{% q}=2-θ\text{ and }0\leq θ\leq 1.$$
This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak solution is regular, provided that $${\frac{π}{\left( e^{-\left\vert x\right\vert ^{2}}+\left\vert u\right\vert +\left\vert b\right\vert \right) ^{θ}}\in L}^{p}(0,T;L^{q,\infty }(\mathbb{R}^{3})),\text{ where }\frac{2}{p}+\frac{3}{% q}=2-θ\text{ and }0\leq θ\leq 1.$$
