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Moreover, the same construction always yields the additional energy-class property $f\\in L^1(0,T;L^2(D))$. The solution is classical on $[0,T)$, extends strongly in $L^2(D)$ to the unique Leray--Hopf solution at time $T$, and satisfies the energy equality, while $\\|v(t)\\|_{L^\\infty(D)}\\to\\infty$ as $t\\uparrow T$. 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