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math.AP2014★ 2 cited
On Analytic Solutions of the Prandtl Equations with Robin Boundary Condition in Half Space
Yutao Ding, Ning Jiang
The existence and uniqueness of the analytic solutions to the nonlinear Prandtl equations with Robin boundary condition on a half space are proved, based on an application of abstr…
math.AP2014★ 4 cited
Zero viscosity and thermal diffusivity limit of the linearized compressible Navier-Stokes-Fourier equations in the half plane
Yutao Ding, Ning Jiang
We study the zero viscosity and heat conductivity limit of an initial boundary problem for the linearized Navier-Stokes-Fourier equations of a compressible viscous and heat conduct…
math.AP2011
Remarks on the Prandtl Equation
Ding Yutao
In a recent result of Gerard-Varet and Dormy [5], they established ill-posedness for the Cauchy problem of the linearized Prandtl equation around non-monotic special solution which…