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arXiv · 1603.00915

Qualitative analysis of three-wave interaction with periodic boundary condition

Ze Cheng·Harvey Segur
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Abstract

First, for 3WRI with positive wave energy, we present a regularity theorem for all spatial dimension. Second, for 3WRI with negative wave energy, we present a class of solution in general spatial dimension that will blow up in finite time. Moreover, a complete classification of spatial uniform solution is given for this particular system.

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Ze Cheng, Harvey Segur. 2016-03-02. Qualitative analysis of three-wave interaction with periodic boundary condition. https://arxiv.org/abs/1603.00915

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