We consider the Boltzmann equation in a convex domain with a non-isothermal boundary of
diffuse reflection. For both unsteady/steady problems, we construct solutions belonging to W …

The higher regularity estimate has been a challenging question regarding the Boltzmann
equation in bounded domains. Indeed, it is well-known to have “the non-existence of a …

This paper deals with collisionless transport equations in bounded open domains Ω⊂ R d
(d⩾ 2) with C 1 boundary∂ Ω, orthogonally invariant velocity measure m (dv) with support …

In this article, we investigate the incoming boundary value problem for the stationary
linearized Boltzmann equations in $\Omega\subseteq\mathbb {R}^{3} $. For a $ C^ 2 …

The Boltzmann equation is a fundamental kinetic equation that describes the dynamics of
dilute gas. In this paper we study the regularity of both dynamical and steady Boltzmann …

In the present work, we adopt the idea of velocity averaging lemma to establish regularity for
stationary linearized Boltzmann equations in a bounded convex domain. Considering the …

We consider the H\" older regularity of solutions to the steady Boltzmann equation with in-
flow boundary condition in bounded and strictly convex domains $\Omega\subset\mathbb …

We study the incoming boundary value problem for the stationary linearized Boltzmann
equation in bounded convex domains. The geometry of the domain has a dramatic effect on …

In this article, we study the stationary Boltzmann equation with the incoming boundary
condition for the hard potential cases. Assuming the smallness of the domain and a suitable …

We consider a boundary value problem of the stationary transport equation in a bounded
convex domain with the incoming boundary condition, and we obtain two results on …