127 citations · 678 across the 64 of their papers we have counts for
8 papers · 2 filters
On the ill-posedness of the Prandtl equations in three space dimensions
Cheng-Jie Liu, Ya-Guang Wang, Tong Yang
In this paper, we give an instability criterion for the Prandtl equations in three space variables, which shows that the monotonicity condition of tangential velocity fields is not…
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
Hai-Liang Li, Tong Yang, Mingying Zhong
In the present paper, we consider the initial value problem for the bipolar Vlasov-Poisson-Boltzmann (bVPB) system and its corresponding modified Vlasov-Poisson-Boltzmann (mVPB). W…
The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
Renjun Duan, Yuanjie Lei, Tong Yang +1
Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the…
Spectrum Structure and Behaviors of the Vlasov-Maxwell-Boltzmann Systems
Hai-Liang Li, Tong Yang, Mingying Zhong
The spectrum structures and behaviors of the Vlasov-Maxwell-Boltzmann (VMB) systems for both two species and one species are studied in this paper. The analysis shows the effect of…
A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation
Yoshinori Morimoto, Shuaikun Wang, Tong Yang
The purpose of this paper is to introduce a new characterization of the characteristic functions for the study on the measure valued solution to the homogeneous Boltzmann equation…
Local well-posedness of Prandtl equations for compressible flow in two space variables
Ya-Guang Wang, Feng Xie, Tong Yang
In this paper, we consider the local well-posedness of the Prandtl boundary layer equations that describe the behavior of boundary layer in the small viscosity limit of the compres…