S. Raynor

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math.AP2004

Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1

Jim Colliander, Sarah Raynor, Catherine Sulem +1

We consider finite time blowup solutions of the $L^{2}$ -critical cubic focusing nonlinear Schrödinger equation on $R^{2}$ . Such functions, when in $H^{1}$ , are known to concentrate a fi…

math.AP2003

Stability of Solitons for the KdV equation in H^s, 0 <= s< 1

S. Raynor, G. Staffilani

We study the long-time stability of soliton solutions to the Korteweg-deVries equation. We consider solutions $u$ to the KdV with initial data in $H^{s}$ , $0 \leq s < 1$ , that are in…