ORCID Profile
0000-0002-5663-3777
Current Organisations
Australian National University
,
Shanghai Jiao Tong University
,
Fudan University
Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the Feedback Form.
Publisher: Elsevier BV
Date: 09-2015
Publisher: Springer Science and Business Media LLC
Date: 18-02-2014
Publisher: China Medical University
Date: 23-02-2022
Publisher: Indiana University Mathematics Journal
Date: 2016
Publisher: Informa UK Limited
Date: 12-01-2011
Publisher: American Institute of Mathematical Sciences (AIMS)
Date: 2015
Publisher: AIP Publishing
Date: 10-2021
DOI: 10.1063/5.0060112
Abstract: In this paper, we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a new BPS system of equations governing coexisting vortices and antivortices, which are topologically characterized by the first Chern classes of the underlying Hermitian bundles and the Thom classes of their associated dual bundles. We then establish existence and uniqueness theorems for such vortices. For the equations over a compact surface, we obtain necessary and sufficient conditions for the existence of solutions. For the equations over the full plane, we obtain all finite-energy solutions. In addition, we also present precise expressions giving the values of various physical quantities of the solutions, including magnetic charges and energies, in terms of the total numbers of vortices and antivortices, of two species and the coupling parameters involved.
Publisher: Elsevier BV
Date: 02-2015
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2019
DOI: 10.1137/18M1197217
Publisher: American Institute of Mathematical Sciences (AIMS)
Date: 2013
No related grants have been discovered for Genggeng Huang.