Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
| Autor: | Lei Liu, Miaomiao Zhu, Juergen Jost |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Applied Mathematics
Dirac (video compression format) 010102 general mathematics Mathematical analysis Harmonic map Boundary (topology) Riemannian manifold 01 natural sciences Identity (music) Flow (mathematics) 0103 physical sciences Uniform boundedness 010307 mathematical physics Compact Riemann surface 0101 mathematics Mathematical Physics Analysis Mathematics |
| Zdroj: | Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:365-387 |
| ISSN: | 1873-1430 0294-1449 |
| DOI: | 10.1016/j.anihpc.2018.05.006 |
| Popis: | For a sequence of coupled fields { ( ϕ n , ψ n ) } from a compact Riemann surface M with smooth boundary to a general compact Riemannian manifold with uniformly bounded energy and satisfying the Dirac-harmonic system up to some uniformly controlled error terms, we show that the energy identity holds during a blow-up process near the boundary. As an application to the heat flow of Dirac-harmonic maps from surfaces with boundary, when such a flow blows up at infinite time, we obtain an energy identity. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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