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)
Building: | East Hall |
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Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Differential Equations Seminar - Department of Mathematics |