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Long time strong Sobolev instability for quasilinear NLS
We prove long-time strong Sobolev instability for a class of quasilinear Schrödinger equations on $\mathbb T^2$ arising, via the Madelung transform, in the description of Euler-Korteweg capillary fluids. More precisely, for every $s\ge 7$, arbitrarily small $μ>0$, and arbitrarily large $\mathcal K>0
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