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Rybka–Wheeler's nonexistence conjecture for trivial graph-like self-similar solutions
Let the setting be one-dimensional, and let denote the profile referred to in the source. A graph-like self-similar solution is called trivial in the sense intended by…
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Pinch-off conjecture for singularities of axisymmetric surface diffusion flow
For the axisymmetric surface diffusion flow, a pinch-off conjecture asserts that solutions developing singularities will have to go through a pinch-off. This conjecture concerns th…