Some applications to the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and Sticky Particles
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Date
2010-11-10T08:20:08Z
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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.