3 citations · 4 across the 3 of their papers we have counts for
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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…
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…
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…