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math.DG2013
The energy identity for a sequence of Yang-Mills α-connections
Min-Chun Hong, Lorenz Schabrun
We prove that the Yang-Mills -functional satisfies the Palais-Smale condition. This guarantees the existence of critical points, which are called Yang-Mills -connections. It…
math.AP2013★ 2 cited
Blow-up criteria of strong solutions to the Ericksen-Leslie system in
Min-Chun Hong, Jinkai Li, Zhouping Xin
In this paper, we establish the local well-posedness and blow-up criteria of strong solutions to the Ericksen-Leslie system in for the well-known Oseen-Frank model. The…
math.DG2013★ 2 cited
The Yang-Mills α-flow in vector bundles over four manifolds and its applications
Min-Chun Hong, Gang Tian, Hao Yin
In this paper, we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimensional Riemannian manifolds, and establish global existence of a unique smooth…