114 citations
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Showing 2024 · math.APShow all
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math.AP2024
The Boltzmann equation for a multi-species inelastic mixture
Thomas Rey, Tommaso Tenna
A granular gas is a collection of macroscopic particles that interact through energy-dissipating collisions, also known as inelastic collisions. This inelasticity is characterized…
math.AP2024★ 2 cited
A multi-scale multi-lane model for traffic regulation via autonomous vehicles
Paola Goatin, Benedetto Piccoli
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in…
math.AP2024
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate so…