A ONE-PHASE SPACE-FRACTIONAL STEFAN PROBLEM WITH NO LIQUID INITIAL DOMAIN

被引：0

作者：

Roscani, Sabrina D. ^{[1
,2
]}

Ryszewska, Katarzyna ^{[3
]}

Venturato, Lucas ^{[1
,2
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina

[2] Univ Austral, Dept Matemat, FCE, S2000FZF, RA-1950 Rosario, Argentina

[3] Warsaw Univ Technol, Dept Math & Informat Sci, Koszykowa 75, PL-00662 Warsaw, Poland

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2022年 / 54卷 / 05期

关键词：

space-fractional diffusion equation; Stefan problem; moving boundary problem; Caputo derivative;

D O I：

10.1137/21M1461599

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：5489 / 5523

页数：35

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