A class of moving boundary problems with a source term: application of a reciprocal transformation

Autor:	Adriana C. Briozzo, Colin Rogers, Domingo A. Tarzia
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mechanical Engineering FOS: Mathematics Computational Mechanics Analysis of PDEs (math.AP)
Zdroj:	Acta Mechanica. 234:1889-1900
ISSN:	1619-6937 0001-5970
Popis:	We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of this Stefan problem with a class of boundary value problems for the nonlinear canonical evolution equation involving a source term with two free boundaries. This equivalence is obtained by applying a reduction to a Burgers equation and a reciprocal-type transformations. Moreover, for a particular case, we obtain a unique explicit solution for the two different problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03c38cd9f595952e9fcd2bc765a7b523 https://doi.org/10.1007/s00707-023-03477-7 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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