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most citedInterior regularity criteria for suitable weak solutions of the Navier-Stokes equations

89 citations · 481 across the 52 of their papers we have counts for

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Showing 2014 · math.APShow all

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math.AP2014★ 2 cited

Finite and infinite soliton and kink-soliton trains of nonlinear Schrödinger equations

Stefan Le Coz, Tai-Peng Tsai

We will first review known results on multi-solitons of dispersive partial differential equations, which are special solutions behaving like the sum of many weakly-interacting soli…

math.AP2014★ 35 cited

Forward Self-Similar Solutions of the Navier-Stokes Equations in the Half Space

Mikhail Korobkov, Tai-Peng Tsai

For the incompressible Navier-Stokes equations in the 3D half space, we show the existence of forward self-similar solutions for arbitrarily large self-similar initial data.

math.AP2014★ 6 cited

Remark on Luo-Hou's ansatz for a self-similar solution to the 3D Euler equations

Dongho Chae, Tai-Peng Tsai

In this note we show that Luo-Hou's ansatz for the self-similar solution to the axisymmetric solution to the 3D Euler equations leads to triviality of the solution under suitable d…