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arXiv · 2203.13910

On finite time blow-up for a 3D Davey-Stewartson system

Luigi Forcella
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Abstract

We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solutions in non-isotropic spaces. The proof is based on some general results on distributions defined via homogeneous symbols, in conjunction with a convexity argument.

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Luigi Forcella. 2022-03-25. On finite time blow-up for a 3D Davey-Stewartson system. https://doi.org/10.1090/proc%2F16058

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