62 citations · 316 across the 26 of their papers we have counts for
6 papers · 1 filter
Conservation laws with nonlocal velocity -- the singular limit problem
Jan Friedrich, Simone Göttlich, Alexander Keimer +1
We consider conservation laws with nonlocal velocity and show for nonlocal weights of exponential type that the unique solutions converge in a weak or strong sense (dependent on th…
Lyapunov stabilization of a nonlocal LWR traffic flow model
Jan Friedrich
Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyap…
Lyapunov stabilization for nonlocal traffic flow models
Jan Friedrich, Simone Göttlich, Michael Herty
Using a nonlocal second-order traffic flow model we present an approach to control the dynamics towards a steady state. The system is controlled by the leading vehicle driving at a…
Stochastic interpolation of sparsely sampled time series by a superstatistical random process and its synthesis in Fourier and wavelet space
Jeremiah Lübke, Jan Friedrich, Rainer Grauer
We present a novel method for stochastic interpolation of sparsely sampled time signals based on a superstatistical random process generated from a multivariate Gaussian scale mixt…
Conservation laws with discontinuous flux function on networks: a splitting algorithm
Jan Friedrich, Simone Göttlich, Annika Uphoff
In this article, we present an extension of the splitting algorithm proposed in [22] to networks of conservation laws with piecewise linear discontinuous flux functions in the unkn…
Superstatistical wind fields from point-wise atmospheric turbulence measurements
Jan Friedrich, Daniela Moreno, Michael Sinhuber +2
Accurate models of turbulent wind fields have become increasingly important in the atmospheric sciences, e.g., for the determination of spatiotemporal correlations in wind parks, t…