4 papers
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws
Neelabja Chatterjee, Ulrik Skre Fjordholm
High-order accurate, numerical methods for hyperbolic conservation laws have attracted much interest over the last decade, but only a few rigorous converg…
Well-posedness of the initial value problem for the Ostrovsky-Hunter equation with spatially dependent flux
Giuseppe Maria Coclite, Neelabja Chatterjee, Nils Henrik Risebro
In this paper we study the Ostrovsky-Hunter equation for the case where the flux function may depend on the spatial variable with certain smoothness. Our main results are…
The Ostrovsky Hunter equation with a space dependent flux function
Neelabja Chatterjee, Nils Henrik Risebro
We study the periodic Ostrovsky-Hunter equation in the case where the flux function may depend on the spatial variable. Our main results are that if the flux function is twice diff…
A convergent finite volume method for the Kuramoto equation and related non-local conservation laws
Neelabja Chatterjee, Ulrik Skre Fjordholm
We derive and study a Lax--Friedrichs type finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly…