A stable and convergent finite element scheme is developed for the variable-order time-fractional incompressible MHD equations, with experiments showing the impact of variable orders on energy and enstrophy.
An Introduction to Magnetohydrodynamics
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Electromagnetism is reformulated from relativistic fluid dynamics via pull-back of differential forms from matter space, imposing kinematical constraints from the absence of four-forms and identifying a preferred frame where spacetime field strength matches the intrinsic matter-space two-form.
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Numerical Analysis of a Variable-Order Time-Fractional Incompressible Magnetohydrodynamics System
A stable and convergent finite element scheme is developed for the variable-order time-fractional incompressible MHD equations, with experiments showing the impact of variable orders on energy and enstrophy.
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Electromagnetism from relativistic fluid dynamics
Electromagnetism is reformulated from relativistic fluid dynamics via pull-back of differential forms from matter space, imposing kinematical constraints from the absence of four-forms and identifying a preferred frame where spacetime field strength matches the intrinsic matter-space two-form.