Article Contents
Article Contents

# $L^p$-stability estimates for the spatially inhomogeneous discrete velocity Boltzmann model

• We present two a priori $L^p$-stability estimates to the discrete velocity Boltzmann models. In a close-to-global Maxwellian regime, we derive a local-in-time $L^2$-stability estimate using a macro-micro decomposition and dispersion estimates for smooth perturbations, and as a direct application, we establish that classical solutions in Kawashima's framework [22, 24] are uniformly $L^2$-stable. In a close-to-vacuum regime, we also obtain a local-in-time $L^p$-stability estimates for classical solutions near vacuum.
Mathematics Subject Classification: Primary: 76P05; Secondary: 37B25.

 Citation: