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math.AP2026
Failure of uniqueness for scalar conservation laws
Shyam Sundar Ghoshal, Abraham Sylla, Parasuram Venkatesh
In this article, we develop the first negative results for scalar conservation laws with finite speed of propagation. While the work of Gargyants, Goritsky, and Panov establishes n…
math.AP2025
Scalar Approach to ARZ-Type Systems of Conservation Laws
Abraham Sylla
We are interested in 2x2 systems of conservation laws of special structure, including generalized Aw-Rascle and Zhang (GARZ) models for road traffic. The simplest representative is…