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arXiv · 2509.12099

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

Ajlan Zajmović
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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. 2025-09-15. Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions. https://doi.org/10.1142/s0219891625500134

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