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math.AP2013★ 3 cited
Ill-posedness of the incompressible Navier-Stokes equations in
C. Deng, X. Yao
In this paper, authors show the ill-posedness of 3D incompressible Navier-Stokes equations in the critical Triebel-Lizorkin spaces for an…
math.AP2013
Well-posedness and ill-posedness of the 3D generalized Navier-Stokes equations in Triebel-Lizorkin spaces
Chao Deng, Xiaohua Yao
In this paper, we study the Cauchy problem of the 3-dimensional (3D) generalized incompressible Navier-Stokes equations (gNS) in Triebel-Lizorkin space $\dot{F}^{-α,r}_{q_α}(\mathb…