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Global attractor for a Ginzburg-Landau type model of rotating Bose-Einstein condensates

We study the long time behavior of solutions to a nonlinear partial differential equation arising in the description of trapped rotating Bose-Einstein condensates. The equation can be seen as a hybrid between the well-known nonlinear Schrödinger/Gross-Pitaevskii equation and the Ginzburg-Landau equation. We prove existence and uniqueness of global in-time solutions in the physical energy space and establish the existence of a global attractor within the associated dynamics. We also obtain basic structural properties of the attractor and an estimate on its Hausdorff and fractal dimensions.

preprint2016arXivOpen access
Alexey CheskidovDaniel MarahrensChristof Sparber
math.APmath.DScond-mat.quant-gas
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Alexey CheskidovDaniel MarahrensChristof Sparber

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