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Integral formulation for a Stefan problem with spherical symmetry. (English) Zbl 1464.80009

Summary: A one-dimensional Stefan problem with spherical symmetry corresponding to the evaporation process of a droplet is considered. An equivalent integral formulation is obtained, and through a fixed point theorem, the existence and uniqueness of the solution are proved.

MSC:

80A22 Stefan problems, phase changes, etc.
45D05 Volterra integral equations
35K05 Heat equation
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References:

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