We prove that the solution of the space homogeneus Boltzmann equation is bounded from below by an exponential. The proof is given for the Kac equation and for the Boltzmann equation in the case of Maxwell pseudo-molecules, but it can be adapted to the case of cut-off potentials
The present work provides a definitive answer to the problem of quantifying relaxation to equilibri...
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relati...
The Boltzmann equation describes the evolution of particle densities, in terms of space and velocity...
We prove that the solution of the space homogeneus Boltzmann equation is bounded from below by an e...
14 pagesThe study of positivity of solutions to the Boltzmann equation goes back to Carleman (1933),...
For the spatially inhomogeneous, non-cutoff Boltzmann equation posed in the whole space R-x(3), we e...
This thesis is devoted to the long-time behaviour of the nonlinear Boltzmann equation for a class of...
We prove the appearance of an explicit lower bound on the solution to the full Boltzmann equation in...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
Abstract. We prove the immediate appearance of an explicit lower bound for continuous mild solutions...
We deal with $f_{t}(dv),$ the solution of the homogeneous $2D$ Boltzmannequation without cutoff. The...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relati...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibri...
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relati...
The Boltzmann equation describes the evolution of particle densities, in terms of space and velocity...
We prove that the solution of the space homogeneus Boltzmann equation is bounded from below by an e...
14 pagesThe study of positivity of solutions to the Boltzmann equation goes back to Carleman (1933),...
For the spatially inhomogeneous, non-cutoff Boltzmann equation posed in the whole space R-x(3), we e...
This thesis is devoted to the long-time behaviour of the nonlinear Boltzmann equation for a class of...
We prove the appearance of an explicit lower bound on the solution to the full Boltzmann equation in...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
Abstract. We prove the immediate appearance of an explicit lower bound for continuous mild solutions...
We deal with $f_{t}(dv),$ the solution of the homogeneous $2D$ Boltzmannequation without cutoff. The...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibriu...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relati...
The present work provides a definitive answer to the problem of quantifying relaxation to equilibri...
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relati...
The Boltzmann equation describes the evolution of particle densities, in terms of space and velocity...