Proves spatial C^1 regularity and higher smoothness away from countable points for the free boundary, absence of jump accumulation, and global uniqueness from short-time uniqueness for physical solutions under integrable initial data.
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Free boundary regularity and well-posedness of physical solutions to the supercooled Stefan problem
Proves spatial C^1 regularity and higher smoothness away from countable points for the free boundary, absence of jump accumulation, and global uniqueness from short-time uniqueness for physical solutions under integrable initial data.