A lower bound on the blow-up rate for the Davey-Stewartson system on the torus

Abstract

We consider the hyperbolic-elliptic version of the Davey-Stewartson system with cubic nonlinearity posed on the two dimensional torus. A natural setting for studying blow up solutions for this equation takes place in $H^s,1/2<s<1$. In this paper, we prove a lower bound on the blow up rate for these regularities.

References in corpus (4)

• Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces
• Numerical Study of Blowup in the Davey-Stewartson System
• Mass Concentration for the Davey-Stewartson System
• Periodic Cubic Hyperbolic Schrödinger equation on $\T^2$

Cited by in corpus (1)

• Hyperbolic nonlinear Schrödinger equations on $\mathbb{R}\times \mathbb{T}$