152 citations · 194 across the 26 of their papers we have counts for
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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…
Models for dense multilane vehicular traffic
Helge Holden, Nils Henrik Risebro
We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the velocity in each lan…
Numerical methods for conservation laws with rough flux
Håkon Hoel, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro +1
Finite volume methods are proposed for computing approximate pathwise entropy/kinetic solutions to conservation laws with a rough path dependent flux function. For a convex flux, i…