Lower bound for the rate of blow-up of singular solutions of the Zakharov system in ${\mathbb{R}}^3$

J. Colliander, M. Czubak, C. Sulem

We consider the scalar Zakharov system in ${\mathbb{R}}^3$ for initial conditions $(\psi (0),n(0),n_t(0))\in H^{\ell +1/2}\times H^{\ell }\times H^{\ell -1}$, $0\le \ell \le 1$. Assuming that…