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Preprints, Working Papers, ... Year : 2014

Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation

Haidar Mohamad
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Abstract

We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation. The result established in this way proves that (HGP) is locally well-posed since the solution of (GP) can be vanished at some $t\neq 0.$
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Dates and versions

hal-00948066 , version 1 (17-02-2014)

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  • HAL Id : hal-00948066 , version 1

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Haidar Mohamad. Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation. 2014. ⟨hal-00948066⟩
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