Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$

preprint2012arXivOpen access

We consider the Zakharov system in two space dimension with periodic boundary condition. We prove the existence of finite time blow-up solutions. Further, we show there exists no minimal mass blow-up solution.

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Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$

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Construction of blow-up solutions for Zakharov system on T2\mathbb{T}^2T2

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Construction of blow-up solutions for Zakharov system on $\mathbb{T}^2$