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Volume preserving Mean-curvature flow with star-shaped sets

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Kim, Inwon

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Volume preserving Mean-curvature flow with star-shaped sets
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Evolution of star-shaped sets in Mean curvature flow with forcing
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24
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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I will discuss on the evolution of sets in mean curvature flows with forcing, where the forcing term encourages the sets to have finite, non-zero volume. We will focus on preservation of a strong version of star-shaped geometry throughout the evolution, which enables us to discuss stability and long-time behavior of the flow.