R. Alonso

collaborators

2 papers

math-ph2008

Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data

Ricardo J. Alonso

The Cauchy problem for the inelastic Boltzmann equation is studied for small data. Existence and uniqueness of mild and weak solutions is obtained for sufficiently small data that…

math.AP2007

Propagation of $L^{1}$ and $L^{\infty}$ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann Equation

Ricardo J. Alonso, Irene M. Gamba

We consider the $n$ -dimensional space homogeneous Boltzmann equation for elastic collisions for variable hard potentials with Grad (angular) cutoff. We prove sharp moment inequalit…

Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data

Propagation of L1 and L∞ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann Equation

Propagation of $L^{1}$ and $L^{\infty}$ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann Equation