Ideal magnetohydrodynamic momentum equation (source code)

= Ideal magnetohydrodynamic momentum equation
{title2=$\rho D_t\mathbf u=-\nabla p-\rho\nabla\Phi+(\nabla\times\mathbf B)\times\mathbf B/\mu_0$}

The inviscid <magnetohydrodynamic momentum equation> balances inertia, <pressure>, <gravitational acceleration> and <Lorentz force density>. The magnetic force separates into <magnetic tension> and <magnetic pressure>. It is coupled to the <continuity equation> and the <ideal magnetohydrodynamic induction equation>.