3 papers
math-ph2026
Entropy dissipation inequality for general binary collision models
Giada Basile, Dario Benedetto
We introduce a ``two-particle factorization'' condition which allows us to formulate the homogeneous Boltzmann equation for non-reversible collision kernels in terms of an entropy…
math-ph2026
Variational derivation of the homogeneous Boltzmann equation
Giada Basile, Dario Benedetto, Carlo Orrieri
We introduce a variational formulation of the homogeneous Boltzmann equation, with hard-sphere cross section, which selects the unique energy conserving solution. We prove that thi…
math.PR2024
Large time analysis of the rate function associated to the Boltzmann equation: dynamical phase transitions
Giada Basile, Dario Benedetto, Lorenzo Bertini +1
We analyse the large time behaviour of the rate function that describes the probability of large fluctuations of an underlying microscopic model associated to the homogeneous Boltz…