Xiongfeng Yang

Well-Posedness and Asymptotics of Grazing Collisions Limit of Boltzmann Equation with Coulomb Interaction

In the present work, we consider the well-posedness and asymptotics of grazing collisions limit of the spatially inhomogeneous Boltzmann equation with Coulomb interaction. Under the screening hypothesis on the cross-section

The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential

B^\epsilon(z,\sigma)

Asymptotic Analysis of Transport Equation in Annulus

of the Boltzmann collision operator, that is,

The Classification of Well-Posed Kinetic Boundary Layer for Hard Sphere Gas Mixtures

B^\epsilon(z, \sigma)=|\log \epsilon|^{-1}|z|^{-3}\theta^{-3}(\sin\theta)^{-1}{1}_{\{\theta\ge \epsilon\}}

Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler–Poisson systems

, where

Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations

\cos\theta= \frac{z}{|z|}\cdot\sigma

Stability of non-monotone critical traveling waves for reaction–diffusion equations with time-delay

, we prove that there exists a common lifespan

Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials

T

Asymptotic behavior on the Milne problem with a force term

such that for any

The Solutions for the Boundary Layer Problem of Boltzmann Equation in a Half-Space

\epsilon