9 citations · 10 across the 7 of their papers we have counts for
10 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…
Well-posedness and time-asymptotic of Boltzmann equations for monatomic and polyatomic mixtures
Ricardo Alonso, Zongguang Li
This paper considers a system of Boltzmann equations modelling the mixture of monatomic and polyatomic gases in an perturbation theory around global modified Max…
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…
Time-velocity decay of solutions to the non-cutoff Boltzmann equation in the whole space
Chuqi Cao, Renjun Duan, Zongguang Li
In this paper, we consider the perturbed solutions with polynomial tail in large velocities for the non-cutoff Boltzmann equation near global Maxwellians in the whole space. The gl…