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

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

2011-09-16

arxiv.org/abs/1109.3528v1

Mathematics

Analysis of PDEs

37 pages

Scientific paper

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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