https://neckpinch.com/authors/felix-lubbe/New arXiv papers by Felix Lubbe, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1903.03502/arxiv:1903.03502Fri, 08 Mar 2019 00:00:00 GMTKlaus Kroencke, Oliver Lindblad Petersen, Felix Lubbe, Tobias Marxen, Wolfgang Maurer, Wolfgang Meiser, Oliver C. Schnürer, Áron Szabó, Boris Vertman — We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M×ℝ, where M is asymptotically flat. If the initial hypersurface F₀⊂ M×ℝ is uniformly spacelike and asymptotic to M×s\ for some s∈ℝ at infinity, we show that a mean curvature flow starting at F₀ exists for all times and converges uniformly to M×s\ as t→ ∞.Mean curvature flowBoundaries & non-compactLong-time existence & convergencePhysics https://neckpinch.com/papers/1805.12540/arxiv:1805.12540Tue, 29 May 2018 00:00:00 GMTFelix Lubbe — Let N be a complete manifold with bounded geometry, such that sec_N≤ −σ< 0 for some positive constant σ. We investigate the mean curvature flow of the graphs of smooth length-decreasing maps f:ℝ^m→ N. In this case, the solution exists for all times and the evolving submanifold stays the graph of a length-decreasing map fₜ. We further prove uniform decay estimates for all derivatives of order ≥ 2 of fₜ along the flow.Mean curvature flowBoundaries & non-compactLong-time existence & convergence https://neckpinch.com/papers/1608.05394/arxiv:1608.05394Thu, 18 Aug 2016 00:00:00 GMTFelix Lubbe — We consider the mean curvature flow of the graph of a smooth map f:ℝ²→ℝ² between two-dimensional Euclidean spaces. If f satisfies an area-decreasing property, the solution exists for all times and the evolving submanifold stays the graph of an area-decreasing map fₜ. Further, we prove uniform decay estimates for the mean curvature vector of the graph and all higher-order derivatives of the corresponding map fₜ.Mean curvature flowSurfacesLong-time existence & convergence