4 papers
Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models
Yannick Holle
A maximum entropy dissipation problem at a traffic junction and the corresponding coupling condition are studied. We prove that this problem is equivalent to a coupling condition i…
New Coupling Conditions for Isentropic Flow on Networks
Yannick Holle, Michael Herty, Michael Westdickenberg
We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model…
Gradient Flows for Dirichlet Eigenvalues
Yannick Holle
We are interested in existence of gradient flows for shape functionals especially for first Laplacian eigenvalues. We introduce different techniques to prove existence and use diff…
Kinetic Relaxation to Entropy Based Coupling Conditions for Isentropic Flow on Networks
Yannick Holle
We consider networks for isentropic gas and prove existence of weak solutions for a large class of coupling conditions. First, we construct approximate solutions by a vector-valued…