5 citations · 6 across the 8 of their papers we have counts for
8 papers
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…
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.…
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…
A well-balanced second-order finite volume approximation for a coupled system of granular flow
Aekta Aggarwal, Veerappa Gowda G. D., Sudarshan Kumar K
A well-balanced second-order finite volume scheme is proposed and analyzed for a 2 X 2 system of non-linear partial differential equations which describes the dynamics of growing s…
Well-posedness and error estimates for coupled systems of nonlocal conservation laws
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
This article deals with the error estimates for numerical approximations of the entropy solutions of coupled systems of nonlocal hyperbolic conservation laws. The systems can be st…
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux
Aekta Aggarwal, Ganesh Vaidya
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dynamics and traffic flow, without any additional conditions on finiteness/discrete…
On the accuracy of the finite volume approximations to nonlocal conservation laws
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
In this article, we discuss the error analysis for a certain class of monotone finite volume schemes approximating nonlocal scalar conservation laws, modeling traffic flow and crow…
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…