Artículo

A new mathematical formulation for a phase change problem with a memory flux

Roscani, Sabrina DinaIcon ; Bollati, JulietaIcon ; Tarzia, Domingo AlbertoIcon
Fecha de publicación: 11/2018
Editorial: Pergamon-Elsevier Science Ltd
Revista: Chaos, Solitons And Fractals
ISSN: 0960-0779
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.
Palabras clave: CAPUTO DERIVATIVE , EQUIVALENT INTEGRAL RELATION , FRACTIONAL DIFFUSION EQUATION , MEMORY FLUX , RIEMANN–LIOUVILLE DERIVATIVE , STEFAN PROBLEM
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/100740
URL: https://www.sciencedirect.com/science/article/abs/pii/S096007791830393X?via%3Dih
DOI: https://doi.org/10.1016/j.chaos.2018.09.023
URL: https://arxiv.org/abs/1805.09115
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Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Citación
Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto; A new mathematical formulation for a phase change problem with a memory flux; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 116; 11-2018; 340-347
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