BECAS
VENTURATO Lucas David
artículos
Título:
A ONE-PHASE SPACE-FRACTIONAL STEFAN PROBLEM WITH NO LIQUID INITIAL DOMAIN
Autor/es:
ROSCANI, SABRINA D.; RYSZEWSKA, KATARZYNA; VENTURATO, LUCAS
Revista:
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Editorial:
SIAM PUBLICATIONS
Referencias:
Año: 2022 vol. 54 p. 5489 - 5523
ISSN:
0036-1410
Resumen:
We consider a phase-change problem for a one-dimensional material with a nonlocal flux, expressed in terms of the Caputo derivative, which derives in a space-fractional Stefan problem. We prove existence of a unique solution to a phase-change problem with the fractional Neumann boundary condition at the fixed face x = 0, where the domain, at the initial time, consists of liquid and solid. Then we use this result to prove the existence of a solution to an analogous problem with solid initial domain, when it is not possible to transform the domain into a cylinder.
