Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term

Abstract

In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.

10 pages

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Cited by in corpus (4)

• Mathematical theory and numerical methods for Bose-Einstein condensation
• Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions
• Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions
• Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials