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math.AP2025
The hydrodynamic limit of viscoelastic granular gases
R. Alonso, B. Lods, I. Tristani
We obtain the first rigorous derivation of an incompressible Navier-Stokes-Fourier system with self-consistent and time-dependent forcing terms from the inelastic hard-spheres Bolt…
math.AP2024
One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar -profiles for moderately hard potentials
R. Alonso, V. Bagland, J. A. Cañizo +2
We prove the stability of self-similar profiles under the hard-to-Maxwell potential limit for the one-dimensional inelastic Boltzmann equation with moderately hard potentia…
math.AP2024
Relaxation in Sobolev spaces and spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions
R. Alonso, V. Bagland, J. A. Cañizo +2
We study the dynamic relaxation to equilibrium of the 1D dissipative Boltzmann equation with Maxwell interactions in classical Sobolev spaces. In addition, we present a spect…