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- W2154348283 abstract "We propose here a model for solidification of the liquid content of an elastic bottle in a freezer. The main goal is to explain the occurrence of high stresses inside the bottle. As a by-product, we derive a formula for the undercooling coefficient in terms of the elasticity constants, latent heat, and the phase expansion coefficient. We investigate the well-posedness of the three-dimensional model: we prove the existence and uniqueness of a solution for the corresponding initial-boundary value problem which couples a PDE with an integrodifferential equation and an ordinary differential inclusion ruling the evolution of the phase parameter. Finally, we prove some results on the long time behavior of solutions." @default.
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- W2154348283 date "2009-01-01" @default.
- W2154348283 modified "2023-09-24" @default.
- W2154348283 title "A Bottle in a Freezer" @default.
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- W2154348283 doi "https://doi.org/10.1137/09075086x" @default.
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