Travelling solitary waves for boson stars
| dc.contributor.author | Zhang, Guoqing | |
| dc.contributor.author | Song, Ningning | |
| dc.date.accessioned | 2021-11-29T16:07:09Z | |
| dc.date.available | 2021-11-29T16:07:09Z | |
| dc.date.issued | 2019-05-28 | |
| dc.description.abstract | In this article, we study the pseudo-relativistic Hartree equation i∂tψ = (√-∆ + m2 - m)ψ - (e-μ|x| / 4π|x| ∗ |ψ|2)ψ, on ℝ3, which describes the dynamics of pseudo-relativistic boson stars with rest mass m > 0 in the mean-field limit. Based on Ekeland variational principle, concentration-compactness lemma and Gagliardo-Nirenberg inequality, we prove existence of travelling solitary waves under the critical stellar mass. In addition to their existence, we obtain orbital stability by using a general idea presented in Cazenave and Lions [2]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, G., & Song, N. (2019). Travelling solitary waves for boson stars. <i>Electronic Journal of Differential Equations, 2019</i>(73), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14961 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Travelling solitary wave | |
| dc.subject | Boson star equation | |
| dc.subject | Critical stellar mass | |
| dc.title | Travelling solitary waves for boson stars | |
| dc.type | Article |