Abstract:
We show how it is possible to apply the SBV Regularity Theorem for entropy solutions of one-dimensional scalar conservation laws, proved by Ambrosio and De Lellis, to Convection Theory and sticky particles. In the multi-dimensional case we present a counterex-ample which prevent us from using the same approach.
Description:
SBV regularity, pressureless gasses, sticky particles, Convection Theory, Generalized Hydrostatic Boussinesq equations, Hamilton-Jacobi equations, scalar conservation laws.