Fröhlich, Jürg and Lenzmann, Enno. (2007) Blowup for nonlinear wave equations describing boson stars. Communications on Pure and Applied Mathematics, 60 (11). pp. 1691-1705.
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Official URL: http://edoc.unibas.ch/49584/
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Abstract
We consider the nonlinear wave equation
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modeling the dynamics of (pseudorelativistic) boson stars. For spherically symmetric initial data, u0(x) ∈ Cmath image (ℝ3), with negative energy, we prove blowup of u(t, x) in the H1/2-norm within a finite time. Physically this phenomenon describes the onset of “gravitational collapse” of a boson star. We also study blowup in external, spherically symmetric potentials, and we consider more general Hartree-type nonlinearities. As an application, we exhibit instability of ground state solitary waves at rest if m = 0.
[image]
modeling the dynamics of (pseudorelativistic) boson stars. For spherically symmetric initial data, u0(x) ∈ Cmath image (ℝ3), with negative energy, we prove blowup of u(t, x) in the H1/2-norm within a finite time. Physically this phenomenon describes the onset of “gravitational collapse” of a boson star. We also study blowup in external, spherically symmetric potentials, and we consider more general Hartree-type nonlinearities. As an application, we exhibit instability of ground state solitary waves at rest if m = 0.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann) |
|---|---|
| UniBasel Contributors: | Lenzmann, Enno |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Wiley |
| ISSN: | 0010-3640 |
| e-ISSN: | 1097-0312 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: |
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| Last Modified: | 28 Nov 2017 08:41 |
| Deposited On: | 28 Nov 2017 08:41 |
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