4 papers
Shock profiles for the cutoff Boltzmann equation of a binary gas mixture
Renjun Duan, Zongguang Li, Zhu Zhang
We prove the existence of small-amplitude traveling shock profiles for the one-dimensional Boltzmann equation of a binary gas mixture with angular cutoff potentials in the full ran…
Ionic KdV structure in weakly collisional plasmas
Renjun Duan, Zongguang Li, Dongcheng Yang +1
We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequ…
Inelastic Boltzmann equation under shear heating
José A. Carrillo, Kam Fai Chan, Renjun Duan +1
In this paper, we study the spatially homogeneous inelastic Boltzmann equation for the angular cutoff pseudo-Maxwell molecules with an additional term of linear deformation. We est…
Polynomial tail solutions of the non-cutoff Boltzmann equation near local Maxwellians
Renjun Duan, Zongguang Li
This paper aims to incorporate the Caflisch's decomposition into the macro-micro decomposition in Boltzmann theory for allowing the microscopic component to exhibit only the polyno…