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Asymptotic analysis of boosted ground states of boson stars
Author(s) -
Wang Qingxuan,
Li Xin
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5946
Subject(s) - mathematics , stars , boson , norm (philosophy) , mathematical physics , physics , astrophysics , particle physics , political science , law
We investigate a minimization problem on the pseudo‐relativistic Hartree equation for boson stars, in which the energy functional is defined byE v ( ψ ) = 1 2ψ , ( − △ + m 2− m ) ψ + i 2 ⟨ ψ , ( v · ∇ ) ψ ⟩ − 1 4 ∫ R 31 | x | ∗ | ψ | 2| ψ | 2d x , where v ∈ R 3 denotes travelling velocity. Two kinds of asymptotic analysis with respect to m and the L 2 ‐norm N = ∫ R 3| ψ | 2d x will be given, respectively.