Vlasov equation
= Vlasov equation
{c}
{wiki}
The <Vlasov equation> describes collisionless evolution of a phase-space <distribution function> in a self-consistent force field: $\partial_t f+\mathbf v\cdot\nabla_xf+\mathbf F\cdot\nabla_pf=0$. The force can be electromagnetic or gravitational; the <Collisionless dark-matter Vlasov equation> is the cosmological gravitational specialization.