On a Space Fractional Stefan problem of Dirichlet type with Caputo flux

Autor:	Roscani, S. D., Ryszewska, K., Venturato, L. D.
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 26A33 35R11 35R35 35R37
Druh dokumentu:	Working Paper
Popis:	We study a space-fractional Stefan problem with the Dirichlet boundary conditions. It is a model that describes superdiffusive phenomena. Our main result is the existence of the unique classical solution to this problem. In the proof we apply evolution operators theory and the Schauder fixed point theorem. It appears that studying fractional Stefan problem with Dirichlet boundary conditions requires a substantial modifications of the approach in comparison with the existing results for problems with different kinds of boundary conditions. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.03502 Zobrazit plný text záznamu View this record from Arxiv