25 citations · 69 across the 19 of their papers we have counts for
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math.AP2017★ 25 cited
Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
Dongyi Wei, Zhifei Zhang, Weiren Zhao
In this paper, we prove the linear inviscid damping and voticity depletion phenomena for the linearized Euler equations around the Kolmogorov flow. These results confirm Bouchet an…
math.AP2017
Linear inviscid damping and vorticity depletion for shear flows
Dongyi Wei, Zhifei Zhang, Weiren Zhao
In this paper, we prove the linear damping for the 2-D Euler equations around a class of shear flows under the assumption that the linearized operator has no embedding eigenvalues.…
math.AP2017
Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains
Qiang Xu, Weiren Zhao, Shulin Zhou
In the paper, we establish commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains. The approach is based on Dahlberg's bilinear estimates, and…