Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models

Kinetic relaxation to entropy based coupling conditions for isentropic flow on networks

(2020) Yannick Holle   JOURNAL OF DIFFERENTIAL EQUATIONS

Priority-based Riemann solver for traffic flow on networks

(2018) Maria Laura Delle Monache et al.   Communications in Mathematical Sciences

Kinetic layers and coupling conditions for nonlinear scalar equations on networks

(2018) R Borsche et al.   NONLINEARITY

Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation

(2018) R. Borsche et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The Riemann solver for traffic flow at an intersection with buffer of vanishing size

(2017) Alberto Bressan et al.   Networks and Heterogeneous Media

Kinetic and related macroscopic models for chemotaxis on networks

(2016) R. Borsche et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION

(2013) R. BORSCHE et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks

(2013) M. Herty et al.   Computational Methods in Applied Mathematics

A Rigorous Derivation of the Coupling of a Kinetic Equation and Burgers’ Equation

(2012) Alexis F. Vasseur   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

(2011) Boris Andreianov et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Vanishing Viscosity for Traffic on Networks

(2010) G. M. Coclite et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections

(2009) Raimund Bürger et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Well-posedness for entropy solutions to multidimensional scalar conservation laws with a strong boundary condition

(2007) Young-Sam Kwon   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS