12 citations · 42 across the 15 of their papers we have counts for
16 papers
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…
The Vlasov-Maxwell-Boltzmann/Landau system with polynomial perturbation near Maxwellian
Chuqi Cao, Dingqun Deng, Xingyu Li
In this paper, we study the Vlasov-Maxwell-Boltzmann system without angular cutoff and the Vlasov-Maxwell-Landau/Boltzmann system with polynomial perturbation near global M…
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…
Stability of Rarefaction Waves for the Non-cutoff Vlasov-Poisson-Boltzmann System with Physical Boundary
Dingqun Deng
In this paper, we are concerned with the Vlasov-Poisson-Boltzmann (VPB) system in three-dimensional spatial space without angular cutoff in a rectangular duct with or without physi…
Global Regularity of the Vlasov-Poisson-Boltzmann System Near Maxwellian Without Angular Cutoff for Soft Potential
Dingqun Deng
We consider the non-cutoff Vlasov-Poisson-Boltzmann (VPB) system of two species with soft potential in the whole space when an initial data is near Maxwellian. Conti…
The Non-cutoff Vlasov-Poisson-Boltzmann and Vlasov-Poisson-Landau Systems in Union of Cubes
Dingqun Deng
This work concerns the Vlasov-Poisson-Boltzmann system without angular cutoff and Vlasov-Poisson-Landau system including Coulomb interaction in bounded domain, namely union of cube…