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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.AP2020★ 5 cited
Positivity--preserving numerical scheme for hyperbolic systems with shock solutions and its convergence analysis
Aekta Aggarwal, Ganesh Vaidya, G. D. Veerappa Gowda
Godunov type numerical schemes for the class of hyperbolic systems, admitting non-classical shocks are proposed. It is shown that the numerical approximations converge to the…