Geometric and projective instability for the Gross-Pitaevski equation
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🧮 math.AP
keywords
equationgross-pitaevskiprojectivesolutionsapproximatecirclesconcentrateconstruct
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Using variational methods, we construct approximate solutions for the Gross-Pitaevski equation which concentrate on circles in $\R^3$. These solutions will help to show that the $L^2$ flow is unstable for the usual topology and for the projective distance.
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