5 citations · 10 across the 11 of their papers we have counts for
11 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.…
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…
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…
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…
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…
Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article we prove convergence of the Godunov scheme of [16] for a scalar conservation law in one space dimension with a spatially discontinuous flux. There may be infinitely…
Well-posedness for conservation laws with spatial heterogeneities and a study of BV regularity
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
In this article, we consider scalar conservation laws with fluxes having spatial discontinuities and possible flat regions and study the following three aspects: (i) existence, (ii…
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…