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arXiv · 1209.1017

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

Nicolas Godet
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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.

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Nicolas Godet. 2012-09-05. A lower bound on the blow-up rate for the Davey-Stewartson system on the torus. https://doi.org/10.1016/j.anihpc.2012.12.001

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