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Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping - MaRDI portal

Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping (Q1708546)

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scientific article; zbMATH DE number 6852542
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Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping
scientific article; zbMATH DE number 6852542

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    Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping (English)
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    23 March 2018
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    Summary: This paper deals with the Cauchy problem for the Gross-Pitaevskii equation with pumping and nonlinear damping which describes the dynamics of pumped decaying Bose-Einstein condensates. This paper establishes global existence of solutions for general initial data in the energy space.
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    Gross-Pitaevskii equation
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    Cauchy problem
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