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arxiv: 1109.3528 · v2 · pith:MUB3VEPAnew · submitted 2011-09-16 · 🧮 math.AP

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

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keywords blow-upsolutionssystemzakharovboundaryconditionconsiderconstruction
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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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