On Blow-up Profile of Ground States of Boson Stars with External Potential
نویسندگان
چکیده
منابع مشابه
Blow-Up for Nonlinear Wave Equations describing Boson Stars
We consider the nonlinear wave equation i∂tu = √ −∆+m2u− (|x| ∗ |u|)u on R modelling the dynamics of (pseudo-relativistic) boson stars. For spherically symmetric initial data, u0(x) ∈ C∞ c (R), with negative energy, we prove blow-up of u(t, x) inH-norm within a finite time. Physically, this phenomenon describes the onset of “gravitational collapse” of a boson star. We also study blow-up in exte...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2017
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-017-1872-1