Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition
This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the qu...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2010-02-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/921 |
| _version_ | 1811294096936927232 |
|---|---|
| author | Firmin K. N'gohisse Théodore K. Boni |
| author_facet | Firmin K. N'gohisse Théodore K. Boni |
| author_sort | Firmin K. N'gohisse |
| collection | DOAJ |
| description | This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the quenching time as a function of the initial datum. Finally, we give some numerical results to illustrate our analysis. |
| first_indexed | 2024-04-13T05:11:26Z |
| format | Article |
| id | doaj.art-e2175893cf3a487680ea3aaeb9557492 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T05:11:26Z |
| publishDate | 2010-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-e2175893cf3a487680ea3aaeb95574922022-12-22T03:01:01ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2010-02-01391Continuity of the quenching time in a semilinear heat equation with Neumann boundary conditionFirmin K. N'gohisse0Théodore K. Boni1Université d'Abobo-AdjaméInstitut National Polytechnique Houphouet-Boigny de YamoussoukroThis paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the quenching time as a function of the initial datum. Finally, we give some numerical results to illustrate our analysis.https://www.ictp.acad.ro/jnaat/journal/article/view/921quenchingsemilinear parabolic equationnumerical quenching time |
| spellingShingle | Firmin K. N'gohisse Théodore K. Boni Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition Journal of Numerical Analysis and Approximation Theory quenching semilinear parabolic equation numerical quenching time |
| title | Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition |
| title_full | Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition |
| title_fullStr | Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition |
| title_full_unstemmed | Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition |
| title_short | Continuity of the quenching time in a semilinear heat equation with Neumann boundary condition |
| title_sort | continuity of the quenching time in a semilinear heat equation with neumann boundary condition |
| topic | quenching semilinear parabolic equation numerical quenching time |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/921 |
| work_keys_str_mv | AT firminkngohisse continuityofthequenchingtimeinasemilinearheatequationwithneumannboundarycondition AT theodorekboni continuityofthequenchingtimeinasemilinearheatequationwithneumannboundarycondition |