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

Published 15 Sep 2025 in math.AP, math-ph, and math.MP | (2509.12099v1)

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.

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Ajlan Zajmović

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