most citedGinzburg-Landau Equations on Non-compact Riemann Surfaces

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math.DG2021

On the Stability of Cylindrical Singularities of the Mean Curvature Flow

Jingxuan Zhang

We study the rescaled mean curvature flow (MCF) of hypersurfaces that are global graphs over a fixed cylinder of arbitrary dimensions. We construct an explicit stable manifold for…

math.DG2021

Adiabatic theory for the area-constrained Willmore flow

Jingxuan Zhang

In this paper, we develop an adiabatic theory for the evolution of large closed surfaces under the area-constrained Willmore (ACW) flow in a three-dimensional asymptotically Schwar…