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6 papers · 2 filters
Well-posedness in Gevrey space for the Prandtl equations with non-degenerate critical points
Wei-Xi Li, Tong Yang
In the paper, we study the Prandtl system with initial data admitting non-degenerate critical points. For any index we obtain the local in time well-posedness in th…
Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay
Cheng-Jie Liu, Tong Yang
Motivated by the paper by D. Gerard-Varet and E. Dormy [JAMS, 2010] about the linear ill-posedness for the Prandtl equations around a shear flow with exponential decay in normal va…
The Boltzmann equation with weakly inhomogeneous data in bounded domain
Yan Guo, Shuangqian Liu
This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior…
The initial boundary value problem for the Boltzmann equation with soft potential
Shuangqian Liu, Xiongfeng Yang
Boundary effects are central to the dynamics of the dilute particles governed by Boltzmann equation. In this paper, we study both the diffuse reflection and the specular reflection…
Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
A uniform approach is introduced to study the existence of measure valued solutions to the homogeneous Boltzmann equation for both hard potential with finite energy, and soft poten…
The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture
Renjun Duan, Shuangqian Liu
The Vlasov-Poisson-Boltzmann system is often used to govern the motion of plasmas consisting of electrons and ions with disparate masses when collisions of charged particles are de…