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math.AP2016★ 27 cited
Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions
Shijin Ding, Quanrong Li, Zhouping Xin
This paper concerns the instability and stability of the trivial steady states of the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a slab domain i…
math.AP2016
Global Entropy Solutions to Weakly Nonlinear Gas Dynamics
Peng Qu, Zhouping Xin
Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution s…