139 citations · 881 across the 56 of their papers we have counts for
61 papers
A fast scheme for the homogeneous Boltzmann equation based on lifting and tensor train approximation
Kun Huang, Yingda Cheng, Irene M. Gamba
We propose a fast deterministic scheme for the space-homogeneous Boltzmann equation that exploits the low-rank structure of the velocity distribution. This paper consists of two in…
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…
Weak solutions for weak turbulence models in electrostatic plasmas
Kun Huang, Irene M. Gamba
The weak turbulence model, also known as the quasilinear theory in plasma physics, has been a cornerstone in modeling resonant particle-wave interactions in plasmas. This reduced m…
A conservative Galerkin solver for the quasilinear diffusion model in magnetized plasmas
Kun Huang, Michael Abdelmalik, Boris Breizman +1
The quasilinear theory describes the resonant interaction between particles and waves with two coupled equations: one for the evolution of the particle probability density function…
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…
Moment estimates and well-posedness of the binary-ternary Boltzmann equation
Ioakeim Ampatzoglou, Irene M. Gamba, Nataša Pavlović +1
In this paper, we show generation and propagation of polynomial and exponential moments, as well as global well-posedness of the homogeneous binary-ternary Boltzmann equation. We a…