Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions

Abstract

We prove that the family of solutions to vanishing viscosity approximation for multidimensional scalar conservation laws with discontinuous non-aligned flux and zero initial data in the limit generates a singular measure supported along the discontinuity surface.

23 pages, 1 figure

References in corpus (1)

• A theory of $L^1$-dissipative solvers for scalar conservation laws with discontinuous flux