Continuity of the temperature in a multi-phase transition problem

Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the p-Laplacian type diffusion is also considered.

Detalles Bibliográficos
Autores principales: Gianazza, Ugo, Liao, Naian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9439994/
https://www.ncbi.nlm.nih.gov/pubmed/36068870
http://dx.doi.org/10.1007/s00208-021-02255-x
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author Gianazza, Ugo
Liao, Naian
author_facet Gianazza, Ugo
Liao, Naian
author_sort Gianazza, Ugo
collection PubMed
description Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the p-Laplacian type diffusion is also considered.
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spelling pubmed-94399942022-09-04 Continuity of the temperature in a multi-phase transition problem Gianazza, Ugo Liao, Naian Math Ann Article Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover, an explicit modulus of continuity is given. The effect of the p-Laplacian type diffusion is also considered. Springer Berlin Heidelberg 2021-09-06 2022 /pmc/articles/PMC9439994/ /pubmed/36068870 http://dx.doi.org/10.1007/s00208-021-02255-x Text en © The Author(s) 2021, corrected publication 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gianazza, Ugo
Liao, Naian
Continuity of the temperature in a multi-phase transition problem
title Continuity of the temperature in a multi-phase transition problem
title_full Continuity of the temperature in a multi-phase transition problem
title_fullStr Continuity of the temperature in a multi-phase transition problem
title_full_unstemmed Continuity of the temperature in a multi-phase transition problem
title_short Continuity of the temperature in a multi-phase transition problem
title_sort continuity of the temperature in a multi-phase transition problem
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9439994/
https://www.ncbi.nlm.nih.gov/pubmed/36068870
http://dx.doi.org/10.1007/s00208-021-02255-x
work_keys_str_mv AT gianazzaugo continuityofthetemperatureinamultiphasetransitionproblem
AT liaonaian continuityofthetemperatureinamultiphasetransitionproblem

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