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 Title Blow-up for possible singular solutions of the Navier-Stokes equations
 Name Jean C Cortissoz Country Colombia Email jcortiss@uniandes.edu.co Co-Author(s) Julio A. Montero, Carlos E. Pinilla Submit Time 2014-02-24 12:47:44 Session Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
 Contents In this talk we will present blow-up rates for possible singular solutions to the Navier-Stokes equations in the homogeneous Sobolev spaces $\dot{H}^{\frac{3}{2}}\left(X\right)$ and $\dot{H}^{\frac{5}{2}}\left(X\right)$, where $X=\mathbb{T}^3$, the 3-dimensional torus, or $X=\mathbb{R}^3$.