A Note on the Mathematical Properties of the Boltzmann Equation
Will Chambers · Proceedings of the Physical Society · 1963
The problem of the uniqueness of solutions of the Boltzmann equation is studied. It is shown that if the kernel possesses certain symmetry properties (which it usually does in the absence of magnetic fields) the equation can be reduced to a form which is non-singular in an algebraic sense, and therefore has a unique solution. This solution also minimizes a functional which is equivalent to the standard variational expression.