22 citations · 52 across the 20 of their papers we have counts for
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math.DG2017★ 5 cited
Global weak solutions of the Teichmüller harmonic map flow into general targets
Melanie Rupflin, Peter M. Topping
We analyse finite-time singularities of the Teichmüller harmonic map flow -- a natural gradient flow of the harmonic map energy -- and find a canonical way of flowing beyond them i…
math.AP2017
Analysis of boundary bubbles for almost minimal cylinders
Melanie Rupflin, Matthew R. I. Schrecker
We analyse the asymptotic behaviour of solutions of the Teichmüller harmonic map flow from cylinders, and more generally of `almost minimal cylinders', in situations where the maps…
math.DG2017★ 2 cited
Sharp eigenvalue estimates on degenerating surfaces
Nadine Große, Melanie Rupflin
We consider the first non-zero eigenvalue of the Laplacian on hyperbolic surfaces for which one disconnecting collar degenerates and prove that essentiall…