18 citations · 27 across the 13 of their papers we have counts for
13 papers
Classical limit of the relativistic Vlasov-Maxwell-Landau system
Chuqi Cao, Ling-Bing He, Yuanjie Lei +1
The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed…
On Landau equation with harmonic potential: nonlinear stability of time-periodic Maxwell-Boltzmann distributions
Chuqi Cao, Ling-Bing He, Jie Ji
We provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann in his seminal paper \cite{Boltzmann} within the context of the Landau equation in the presenc…
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…
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…
Hydrodynamic limit for the non-cutoff Boltzmann equation
Chuqi Cao, Kleber Carrapatoso
This work deals with the non-cutoff Boltzmann equation for all type of potentials, in both the torus and in the whole space , under the incompressible…
De Giorgi Argument for non-cutoff Boltzmann equation with soft potentials
Chuqi Cao
In this paper, we consider the global well-posedness to the non-cutoff Boltzmann equation with soft potential in the setting. We show that when the initial data is close…
Cutoff Boltzmann equation with polynomial perturbation near Maxwellian
Chuqi Cao
In this paper, we consider the cutoff Boltzmann equation near Maxwellian, we proved the global existence and uniqueness for the cutoff Boltzmann equation in polynomial weighted spa…
Propagation of moments and sharp convergence rate for inhomogeneous non-cutoff Boltzmann equation with soft potentials
Chuqi Cao, Ling-Bing He, Jie Ji
We prove the well-posedness for the non-cutoff Boltzmann equation with soft potentials when the initial datum is close to the {\it global Maxwellian} and has only polynomial decay…
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 es…
Large Time Asymptotic Behaviors of Two Types of Fast Diffusion Equations
Chuqi Cao, Xingyu Li
We consider two types of non linear fast diffusion equations in R^N:(1) External drift type equation with general external potential. It is a natural extension of the harmonic pote…
The Kinetic Fokker-Planck Equation with General Force
Chuqi Cao
We consider the kinetic Fokker-Planck equation with a class of general force. We prove the existence and uniqueness of a positive normalized equilibrium (in the case of a general f…
Hypocoercivity of linear kinetic equations via Harris's Theorem
José A. Cañizo, Chuqi Cao, Josephine Evans +1
We study convergence to equilibrium of the linear relaxation Boltzmann (also known as linear BGK) and the linear Boltzmann equations either on the torus $(x,v) \in \mathbb{T}^d \ti…
The kinetic Fokker-Planck equation with weak confinement force
Chuqi Cao
We consider the kinetic Fokker-Planck equation with weak confinement force. We proved some (polynomial and sub-exponential) rate of convergence to the equilibrium (depending on the…