Hyperbolic Conservation Laws

  Traffic flow and conservation laws


1. From traffic model to a million dollar prize (D. Mumford & C. Rousseau)

2. ODEs - PDEs models for traffic flow (A. Bressan)

3. On the modeling and management of traffic (R.M. Colombo, P. Goatin & M.D. Rosini)



  Introductory surveys and slides to conservation laws


1. Leggi di conservazione (A. Bressan)

2. Conversazioni leggere sulle leggi di conservazione (C. Mascia)

3. Review on hyperbolic conservation laws (A. Bressan)

4. Sistemi iperbolici di leggi di conservazione (A. Bressan)



  Properties of solutions of conservation laws and HJ equations


1. Minimal entropy conditions for Burgers equation (C. De Lellis, F. Otto & M. Westdickenberg)

2. A note on admissible solutions of 1D scalar conservation laws and 2D H-J equations (L. Ambrosio & C. De Lellis)



  Viscosity solutions of H-J equations


1. Some properties of viscosity solutions of H-J equations (M.G. Crandall, L.C. Evans & P.L. Lions)



  Initial boundary value problems for conservation laws


1. Explicit formula for scalar non-linear conservation laws with boundary conditions (P.G. LeFloch)



  Control problems for conservation laws


1. On the attainable set for conservation laws with boundary control (F. Ancona & A. Marson)

2. Scalar non-linear conservation laws with integrable boundary data (F. Ancona & A. Marson)

3. Optimization problems and differential games for traffic flow (A. Bressan)

4. Optima and equilibria for a model of traffic flow (A. Bressan & K. Han)



  Conservation laws and numerics


1. Numerical Methods for the solution of hyperbolic conservation laws (A. Mazzia)

2. A short course in difference methods (H. Holden & N.H. Risebro)