107 citations · 250 across the 39 of their papers we have counts for
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Stochastic electromechanical bidomain model
Mostafa Bendahmane, Kenneth H. Karlsen, Fatima Mroue
We analyze a system of nonlinear stochastic partial differential equations (SPDEs) of mixed elliptic-parabolic type that models the propagation of electric signals and their effect…
A nonlocal Lagrangian traffic flow model and the zero-filter limit
Giuseppe M. Coclite, Kenneth H. Karlsen, Nils Henrik Risebro
In this study, we start from a Follow-the-Leaders model for traffic flow that is based on a weighted harmonic mean (in Lagrangian coordinates) of the downstream car density. This r…
Quantitative compactness estimates for stochastic conservation laws
Kenneth H. Karlsen
We present a quantitative compensated compactness estimate for stochastic conservation laws, which generalises a previous result of Golse & Perthame (2013) for deterministic equati…