Many-body blow-up profile of boson stars with external potentials
2019 ◽
Vol 31
(10)
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pp. 1950034
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We consider a 3D quantum system of [Formula: see text] identical bosons in a trapping potential [Formula: see text], with [Formula: see text], interacting via a Newton potential with an attractive interaction strength [Formula: see text]. For a fixed large [Formula: see text] and the coupling constant [Formula: see text] smaller than a critical value [Formula: see text] (Chandrasekhar limit mass), in an appropriate sense, the many-body system admits a ground state. We investigate the blow-up behavior of the ground state energy as well as the ground states when [Formula: see text] approaches [Formula: see text] sufficiently slowly in the limit [Formula: see text]. The blow-up profile is given by the Gagliardo–Nirenberg solutions.
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1987 ◽
Vol 01
(01)
◽
pp. 89-102
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