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…
Global mild solution with polynomial tail for the Boltzmann equation in the whole space
Renjun Duan, Zongguang Li, Shuangqian Liu
We are concerned with the Cauchy problem on the Boltzmann equation in the whole space. The goal is to construct global-in-time bounded mild solutions near Maxwellians with the pert…
Global bounded solutions to the Boltzmann equation for a polyatomic gas
Renjun Duan, Zongguang Li
In this paper we consider the Boltzmann equation modelling the motion of a polyatomic gas where the integration collision operator in comparison with the classical one involves an…
Existence and uniqueness of solutions to the quantum Boltzmann equation for soft potentials
Zongguang Li
In this paper we consider a modified quantum Boltzmann equation with the quantum effect measured by a continuous parameter that can decrease from for the Fermi-Dirac part…
Large amplitude solutions in to the Boltzmann equation for soft potentials
Zongguang Li
In this paper we consider the Cauchy problem on the angular cutoff Boltzmann equation near global Maxwillians for soft potentials either in the whole space or in the torus. We esta…