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We consider the focusing energy-critical wave equation in space dimension$N\in \{3, 4, 5\}$ for radial data. We study type II blow-up solutions whichconcentrate one bubble of energy. It is known that such solutions decompose inthe energy space as a sum of the bubble and an asymptotic profile. We provebounds on the blow-up speed in the case when the asymptotic profile issufficiently regular. These bounds are optimal in dimension $N = 5$. We alsoprove that if the asymptotic profile is sufficiently regular, then it cannot bestrictly negative at the origin.

Bounds on the speed of type II blow-up for the energy critical wave equation in the radial case