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In this paper we discuss global well - posedness and scattering for someinitial value problems that are $L^{2}$ supercritical and $\dot{H}^{1}$subcritical, with radial data. We prove global well - posedness and scatteringfor radial data in $H^{s}$, $s > s_{c}$, where the problem is $\dot{H}^{s_{c}}$- critical. We make use of the long time Strichartz estimates of \cite{D2} todo this.

Global well-posedness and scattering for nonlinear Schr{\"o}dinger equations with algebraic nonlinearity when $d = 2, 3$, $u_{0}$ radial