Integral formulation for a Stefan problem with spherical symmetry

Integral formulation for a Stefan problem with spherical symmetry

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.

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2021-06, Vol.72 (3), Article 98
Hauptverfasser: Bollati, Julieta, Briozzo, Adriana C., Gutierrez, María S.
Format: Artikel
Sprache:eng
Schlagworte:
Engineering
Existence theorems
Fixed points (mathematics)
Integrals
Mathematical Methods in Physics
Symmetry
Theoretical and Applied Mechanics
Uniqueness theorems
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Beschreibung
Zusammenfassung: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.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-021-01527-5