Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions
Published: Sep 15, 2025
Last Updated: Sep 15, 2025
Authors:Ajlan Zajmović
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.