The Physics of Fluids · 1959 · 119 citations · 1 references
Natural SciencesMathematicsPhysicsDifferential EquationsElectromagneticsElectromagnetismBoundary ConditionsEquations Of StateMagnetohydrodynamicsMaxwell's EquationsPartial Differential EquationsSystems Of Differential EquationsMagnetic Equation Of StateMagnetic Flux SurfacesMagnetohydrodynamic EquilibriumToroidal Magnetic Fields
A necessary and sufficient condition is derived for a magnetic differential equation B·▿r = 0 to have a single-valued solution r, where B is the field of a magnetohydrostatic equilibrium state or, more generally, and field with a system of toroidal magnetic surfaces.
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