Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions
Analysis of PDEs
2025-11-07 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2509.12099,
title = {Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions},
author = {Ajlan Zajmović},
journal= {arXiv preprint arXiv:2509.12099},
year = {2025}
}
Comments
23 pages, 1 figure