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math.NA2026
Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
Aekta Aggarwal, Ganesh Vaidya
We study the entropy solution for a class of systems of nonlocal conservation laws in which the convective flux is convoluted with a kernel in both spatial and temporal variables.…
math.NA2023
Error Estimates for Systems of Nonlocal Balance Laws Modeling Dense Multilane Vehicular Traffic
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
We discuss a class of coupled systems of nonlocal nonlinear balance laws modeling multilane traffic, with the nonlocality present in both convective and source terms. The uniquenes…
math.NA2021
A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux
Shyam Sundar Ghoshal, John D Towers, Ganesh Vaidya
This article concerns a scalar multidimensional conservation law where the flux is of Panov type and may contain spatial discontinuities. We define a notion of entropy solution and…