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Fluid Dynamics

不可压缩磁流体动力学方程的弱解

Weak solutions of the incompressible magnetohydrodynamic equations

A class of solutions to the incompressible magnetohydrodynamic (MHD) equations that are defined in a distributional sense, allowing for the analysis of turbulent flows and singularities where classical solutions may not exist. / 磁流体动力学方程的一种解类,在分布意义上定义,允许分析经典解可能不存在的湍流和奇异性。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-11-09 22:06:16
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Sub-knowledge points

Maxwell's equations / 自然理论Incompressible Navier-Stokes equationsEnergy equality criteria

Higher-order knowledge points

Turbulence theoryPlasma physicsGeophysical fluid dynamics

Main parameters and performance indicators

Reynolds number: Characterizes the ratio of inertial forces to viscous forcesMagnetic Reynolds number: Characterizes the ratio of magnetic diffusion time to advection time

Open problems

Existence and uniqueness of global weak solutionsRegularity criteria for weak solutions

Related literature

ranked by community stars
New energy equality criteria of weak solutions of the incompressible magnetohydrodynamic equationsOpen source

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automated knowledge publish农场主2026-11-09 22:06:16

Record title: Weak solutions of the incompressible magnetohydrodynamic equations.