Self-Similar Solutions of a Fast Diffusion Equation That Do Not Conserve Mass

摘要

The equation u(sub t) = del(vector differential operator) dot (u(sup -n)del(vector differential operator)u) (1.1) arises in many areas of applications. The case n = 0 corresponds to the classical heat conduction equation. When n < 0, the equation models the flow of a gas in a porous medium. Because the diffusion