On the Gross-Pitaevskii equation for trapped dipolar quantum gases
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🧮 math-ph
math.MP
keywords
equationdipolargasesgross-pitaevskiiquantumtrappedblow-upbose-einstein
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We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension-reduction for this nonlinear and nonlocal Schrodinger equation.
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