Publications (36)
Modeling Crowd Dynamics through Hyperbolic - Elliptic Equations
Rinaldo M. Colombo, Maria Gokieli, Massimiliano D. Rosini
A Mixed ODE-PDE Model for Vehicular Traffic
Rinaldo M. Colombo, Francesca Marcellini
Rigorous Estimates on Balance Laws in Bounded Domains
Rinaldo M. Colombo, Elena Rossi
Differential Equations Modeling Crowd Interactions
Raul Borsche, Rinaldo M. Colombo, Mauro Garavello +1
On the 1D Modeling of Fluid Flowing through a Junction
Rinaldo M. Colombo, Mauro Garavello
NonLocal Systems of Balance Laws in Several Space Dimensions with Applications to Laser Technolog
Rinaldo M. Colombo, Francesca Marcellini
A Traffic Model Aware of Real Time Data
Rinaldo M. Colombo, Francesca Marcellini
The Compressible to Incompressible Limit of 1D Euler Equations: the Non Smooth Case
Rinaldo M. Colombo, Graziano Guerra, Veronika Schleper
Polynomial Profits in Renewable Resources Management
Rinaldo M. Colombo, Mauro Garavello
On the Stability of the Standard Riemann Semigroup
Stefano Bianchini, Rinaldo M. Colombo
A 2-phase traffic model based on a speed bound
Rinaldo M. Colombo, Francesca Marcellini, Michel Rascle
Isentropic Fluid Dynamics in a Curved Pipe
Rinaldo M. Colombo, Helge Holden
Hyperbolic predators vs parabolic preys
Rinaldo M. Colombo, Elena Rossi
Hyperbolic Balance Laws with a Dissipative Non Local Source
Rinaldo M. Colombo, Graziano Guerra
Differential Equations in Metric Spaces with Applications
Rinaldo M. Colombo, Graziano Guerra
Smooth and discontinuous junctions in the p-system
Rinaldo M. Colombo, Francesca Marcellini
IBVPs for Scalar Conservation Laws with Time Discontinuous Fluxes
Rinaldo M. Colombo, Elena Rossi
Conservation laws in the modeling of moving crowds
Rinaldo M. Colombo, Mauro Garavello, Magali Lécureux-Mercier +1
A Game Theoretic Approach to Hyperbolic Consensus Problems
Rinaldo M. Colombo, Mauro Garavello
Non Local Conservation Laws in Bounded Domains
Elena Rossi, Rinaldo M. Colombo
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Rinaldo M. Colombo, Helge Holden
Coupling conditions for the 3x3 Euler system
Rinaldo M. Colombo, Francesca Marcellini
$\mathbf{BV}$ Solutions to $1$D Isentropic Euler Equations in the Zero Mach Number Limit
Rinaldo M. Colombo, Graziano Guerra
On General Balance Laws with Boundary
Rinaldo M. Colombo, Graziano Guerra
An Analytical Framework to Describe the Interactions Between Individuals and a Continuum
Rinaldo M. Colombo, Magali Lécureux-Mercier
A Class of Non-Local Models for Pedestrian Traffic
Rinaldo M. Colombo, Mauro Garavello, Magali Lécureux-Mercier
Nonlocal Crowd Dynamics Models for several Populations
Rinaldo M. Colombo, Magali Lécureux-Mercier
Stability of the 1D IBVP for a Non Autonomous Scalar Conservation Law
Rinaldo M. Colombo, Elena Rossi
Conservation Laws with Coinciding Smooth Solutions but Different Conserved Variable
Rinaldo M. Colombo, Graziano Guerra
Stability and Optimization in Structured Population Models on Graphs
Mauro Garavello, Rinaldo M. Colombo
Control of the Continuity Equation with a Non Local Flow
Rinaldo M. Colombo, Michael Herty, Magali Mercier
Optimization in Structure Population Models through the Escalator Boxcar Train
Rinaldo M. Colombo, Piotr Gwiazda, Magdalena Rosinska
Hyperbolic Balance Laws with a Non Local Source
Rinaldo M. Colombo, Graziano Guerra
Stability and Total Variation Estimates on General Scalar Balance Laws
Rinaldo M. Colombo, Magali Mercier, Massimiliano D Rosini
Uniqueness of the $1$D Compressible to Incompressible Limit
Rinaldo M. Colombo, Graziano Guerra
On the Stability Functional for Conservation Laws
Rinaldo M. Colombo, Graziano Guerra