Presented By: Department of Mathematics
Differential Equations
On the critical one component regularity for 3-D Navier-Stokes system
Given an initial data $v_0$
with the vorticity in $L^{\frac 3 2}$ (which
implies that $v_0$ belongs to the Sobolev space $H^{\frac12}$), we
prove that the solution $v$ given by the classical Fujita-Kato
theorem blows up in a finite time $T^\star$ only if, for any $4 Speaker(s): Ping Zhang (Chinese Academy of Sciences)
with the vorticity in $L^{\frac 3 2}$ (which
implies that $v_0$ belongs to the Sobolev space $H^{\frac12}$), we
prove that the solution $v$ given by the classical Fujita-Kato
theorem blows up in a finite time $T^\star$ only if, for any $4 Speaker(s): Ping Zhang (Chinese Academy of Sciences)
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