139 citations · 881 across the 56 of their papers we have counts for
12 papers · 1 filter
The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gases
Ricardo J. Alonso, Irene M. Gamba, Milana Pavic-Colic
From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear syste…
The Boltzmann equation for hard potentials with integrable angular transition: Coerciveness, exponential tails rates, and Lebesgue integrability
Ricardo J. Alonso, Irene M. Gamba
This manuscript focus on an extensive survey with new techniques on the problem of solving the Boltzmann flow by bringing a unified approach to the Cauchy problem to homogeneous ki…
On the Cauchy problem for Boltzmann equation modelling a polyatomic gas
Irene M. Gamba, Milana Pavić-Čolić
In the present manuscript we consider the Boltzmann equation that models a polyatomic gas by introducing one additional continuous variable, referred to as microscopic internal ene…
Spectral Gap Computations for Linearized Boltzmann Operators
Chenglong Zhang, Irene M. Gamba
The quantitative information on the spectral gaps for the linearized Boltzmann operator is of primary importance on justifying the Boltzmann model and study of relaxation to equili…
On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures
Irene M. Gamba, Milana Pavić-Čolić
We solve the Cauchy problem for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions in three dim…
Exponentially-tailed regularity and time asymptotic for the homogeneous Boltzmann equation
Ricardo Alonso, Irene M. Gamba, Maja Tasković
We present in this document the Lebesgue and Sobolev propagation of exponential tails for solutions of the homogeneous Boltzmann equation for hard and Maxwell interactions. In addi…