https://neckpinch.com/authors/hakar-raji/New arXiv papers by Hakar Raji, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2505.16688/arxiv:2505.16688Thu, 22 May 2025 00:00:00 GMTHakar Raji, Oliver C. Schnürer — There exist rotationally symmetric translating solutions to mean curvature flow that can be written as a graph over Euclidean space. This result is well-known. Its proof uses the symmetry and techniques from partial differential equations. However, the result can also be formulated as an existence result for a singular ordinary differential equation. Here, we provide different methods to prove existence of these solutions based on the study of the singular ordinary differential equation without using methods from partial differential equations.Mean curvature flowSelf-shrinkers & translatorsRotational symmetry & warped products