Artículo

A class of moving boundary problems with an exponential source term

Bollati, JulietaIcon ; Borrego Rodríguez, Ernesto AlejandroIcon ; Briozzo, Adriana ClotildeIcon ; Rogers, Colin
Fecha de publicación: 12/2025
Editorial: Pergamon-Elsevier Science Ltd
Revista: Nonlinear Analysis-real World Applications
ISSN: 1468-1218
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type problems, for different boundary conditions at the fixed face, through the application of a reciprocal transformation alongside the Cole–Hopf transformation. For specific cases, we derive explicit similarity solutions in parametric form. This innovative approach enhances our understanding of the underlying dynamics and offers valuable insights into the behavior of these systems.
Palabras clave: Reciprocal transformation , Stefan problem , Exponential source term , Evolution nonlinear equation
 
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info:eu-repo/semantics/restrictedAccess 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/11336/274444
URL: https://linkinghub.elsevier.com/retrieve/pii/S1468121825000768
DOI: http://dx.doi.org/10.1016/j.nonrwa.2025.104390
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Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Citación
Bollati, Julieta; Borrego Rodríguez, Ernesto Alejandro; Briozzo, Adriana Clotilde; Rogers, Colin; A class of moving boundary problems with an exponential source term; Pergamon-Elsevier Science Ltd; Nonlinear Analysis-real World Applications; 86; 12-2025; 1-14
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