In this joint work with Patrícia Gonçalves (IST-ULisboa) and Alexandre Simas (KAUST), we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists of a superposition of several dynamics: the exclusion rule, that dictates that no more than a particle per site with a fixed velocity is allowed; a collision dynamics, that dictates that particles at the same site can collide and originate particles with new velocities such that the linear momentum is conserved; a boundary dynamics that injects and removes particle in the system. This last dynamic destroys the conservation law, and its strength is regulated by a parameter \( \theta \). The goal is the derivation of the hydrodynamic limit, and the boundary conditions change drastically according to the value of \( \theta \).
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