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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…
math.AP2006
Level Set Dynamics and the Non-blowup of the 2D Quasi-geostrophic Equation
Jian Deng, Thomas Y. Hou, Ruo Li +1
In this article we apply the technique proposed in Deng-Hou-Yu (Comm. PDE, 2005) to study the level set dynamics of the 2D quasi-geostrophic equation. Under certain assumptions on…