# Is the Maxwell distribution a solution of the Boltzmann equation?

I am studying about the Boltzmann Equation for non-equilibrium rarefied gases (dilute gases to be more specific): $$\frac{\partial f}{\partial t}+\pmb{v}\cdot\nabla_{\pmb{x}}f=Q(f,f)$$

My question is this: is the Maxwell distribution a solution of the equation above?

• Yes, it is a global and local sulution. Mar 17, 2015 at 12:17