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The no-mass-drop conjecture for Brakke flows associated to nonfattening level set flows
No-mass-drop conjecture. The Brakke flow associated to a nonfattening level set flow has no mass drop and achieves equality in the Brakke inequality.
Conjectureopenbrakke-flow level-set-flow mean-curvature-flowarXiv posted 2 days ago
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The matching Brakke flow converse for non-fattening level set flow
Converse conjecture. If there is a unique matching Brakke flow starting from $M$ , then the level set flow $F_t(M)$ is non-fattening. Equivalently, the inner and outer flows should…
Conjectureopenbrakke-flow level-set-flow mean-curvature-flowarXiv posted 2 days ago

The no-mass-drop conjecture for Brakke flows associated to nonfattening level set flows