3 citations · 3 across the 4 of their papers we have counts for
4 papers
Propagation of and Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann Equation
Ricardo J. Alonso, Irene M. Gamba
We consider the -dimensional space homogeneous Boltzmann equation for elastic collisions for variable hard potentials with Grad (angular) cutoff. We prove sharp moment inequalit…
Spectral - Lagrangian methods for Collisional Models of Non - Equilibrium Statistical States
Irene M. Gamba, Sri Harsha Tharkabhushanam
We propose a new spectral Lagrangian based deterministic solver for the non-linear Boltzmann Transport Equation for Variable Hard Potential (VHP) collision kernels with conservativ…
On the blowing up of solutions to quantum hydrodynamic models on bounded domains
Irene M. Gamba, Maria Pia Gualdani, Ping Zhang
The blow-up in finite time for the solutions to the initial-boundary value problem associated to the multi-dimensional quantum hydrodynamic model in a bounded domain is proved. The…
Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
I. M. Gamba, V. Panferov, C. Villani
For the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution,…