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math.AP2025
The Non-cutoff Boltzmann Equation in Bounded Domains
Dingqun Deng
The initial-boundary value problem for the inhomogeneous non-cutoff Boltzmann equation is a challenging open problem. In this paper, we study the stability and long-time dynamics o…
math.AP2024
The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian
Chuqi Cao, Dingqun Deng, Xingyu Li
In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global Maxwellian . We e…
math.AP2024
Nonlinear Stability of Planar Shock Waves for the 3-D Boltzmann Equation
Dingqun Deng, Lingda Xu
This paper studies the stability and large-time behavior of the three-dimensional (3-D) Boltzmann equation near shock profiles. We prove the nonlinear stability of the composite wa…