A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction
Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and uniqueness of solutions, the existence of the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023740?viewType=HTML |
| _version_ | 1797840650634264576 |
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| author | Grace Noveli Belvy Louvila Armel Judice Ntsokongo Franck Davhys Reval Langa Benjamin Mampassi |
| author_facet | Grace Noveli Belvy Louvila Armel Judice Ntsokongo Franck Davhys Reval Langa Benjamin Mampassi |
| author_sort | Grace Noveli Belvy Louvila |
| collection | DOAJ |
| description | Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and uniqueness of solutions, the existence of the global attractor and the existence of an exponential attractor. |
| first_indexed | 2024-04-09T16:18:15Z |
| format | Article |
| id | doaj.art-7d67bcb47400479b8b96b90863dcf3d8 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T16:18:15Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-7d67bcb47400479b8b96b90863dcf3d82023-04-24T01:36:58ZengAIMS PressAIMS Mathematics2473-69882023-04-0186144851450710.3934/math.2023740A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conductionGrace Noveli Belvy Louvila0Armel Judice Ntsokongo1Franck Davhys Reval Langa2Benjamin Mampassi3Faculté des Sciences et Technique, Université Marien Ngouabi, BP: 69, Brazzaville, CongoFaculté des Sciences et Technique, Université Marien Ngouabi, BP: 69, Brazzaville, CongoFaculté des Sciences et Technique, Université Marien Ngouabi, BP: 69, Brazzaville, CongoFaculté des Sciences et Technique, Université Marien Ngouabi, BP: 69, Brazzaville, CongoOur aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and uniqueness of solutions, the existence of the global attractor and the existence of an exponential attractor.https://www.aimspress.com/article/doi/10.3934/math.2023740?viewType=HTMLconserved caginalp systemtwo temperatureswell-posednessdissipativityglobal attractorexponential attractor |
| spellingShingle | Grace Noveli Belvy Louvila Armel Judice Ntsokongo Franck Davhys Reval Langa Benjamin Mampassi A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction AIMS Mathematics conserved caginalp system two temperatures well-posedness dissipativity global attractor exponential attractor |
| title | A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction |
| title_full | A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction |
| title_fullStr | A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction |
| title_full_unstemmed | A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction |
| title_short | A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction |
| title_sort | conserved caginalp phase field system with two temperatures and a nonlinear coupling term based on heat conduction |
| topic | conserved caginalp system two temperatures well-posedness dissipativity global attractor exponential attractor |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023740?viewType=HTML |
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