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20062009
most citedDynamic Stability of the 3D Axi-symmetric Navier-Stokes Equations with Swirl

40 citations · 77 across the 4 of their papers we have counts for

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math.AP2006★ 8 cited

Nonexistence of Local Self-Similar Blow-up for the 3D Incompressible Navier-Stokes Equations

Thomas Y. Hou, Ruo Li

We prove the nonexistence of local self-similar solutions of the three dimensional incompressible Navier-Stokes equations. The local self-similar solutions we consider here are dif…