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Diffusion wave phenomena and optimal time decay for incompressible viscoelastic flows
Shenghan Li, Yong Wang
Motivated by the work of D. Hoff and K. Zumbrun (Indiana Univ. Math. J. 44: 603-676, 1995), we investigate the diffusion wave phenomena in three-dimensional incompressible viscoela…
Steady Prandtl Layer for Compressible Fluids
Yan Guo, Yong Wang
Despite its importance, there have been few PDE results to investigate Prandtl layers for compressible fluids, in which the thermal boundary layer for the temperature field interac…
Global well-posedness of Vlasov-Poisson-Boltzmann equations with neutral initial data and small relative entropy
Zaihong Jiang, Yong Wang, Hang Xiong
The dynamics of dilute plasma particles such as electrons and ions can be modeled by the fundamental two species Vlasov-Poisson-Boltzmann equations, which describes mutual interact…
Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows
Yan Guo, Yong Wang
Assume no-slip boundary conditions for the velocity field and either insulated or Dirichlet boundary conditions for the temperature field in a steady compressible fluid. In the inv…
Global solutions of the 3D incompressible inhomogeneous viscoelastic system
Chengfei Ai, Yong Wang
In this paper, we prove the global existence of strong solutions for the 3D incompressible inhomogeneous viscoelastic system. We do not assume the "initial state" assumption and th…
Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical Symmetry
Gui-Qiang G. Chen, Lin He, Yong Wang +1
We establish the global-in-time existence of solutions of finite relative-energy for the multidimensional compressible Euler-Poisson equations for plasma with doping profile for la…