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math.AP2026
Stability estimates for systems of nonlocal balance laws with memory
Aekta Aggarwal, N. K. Aswini, Sarvesh Kumar +1
In this work, we investigate entropy solutions for a class of systems of nonlocal {balance laws in which the convective flux and the source involves terms where the state variable…
math.AP2025
Uniqueness Domains for Solutions of Hyperbolic Conservation Laws
Alberto Bressan, Elio Marconi, Ganesh Vaidya
For a genuinely nonlinear hyperbolic system of conservation laws, assuming that the initial data have small norm but possibly unbounded total variation…