Existence of solutions to a phase-field model with phase-dependent heat absorption
We consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as s...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/28/abstr.html |
| _version_ | 1818484178403983360 |
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| author | Gabriela Planas |
| author_facet | Gabriela Planas |
| author_sort | Gabriela Planas |
| collection | DOAJ |
| description | We consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation. |
| first_indexed | 2024-12-10T15:51:41Z |
| format | Article |
| id | doaj.art-9cb33f0929264944853d468a76f2fe1d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T15:51:41Z |
| publishDate | 2007-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9cb33f0929264944853d468a76f2fe1d2022-12-22T01:42:47ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-02-01200728112Existence of solutions to a phase-field model with phase-dependent heat absorptionGabriela PlanasWe consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation.http://ejde.math.txstate.edu/Volumes/2007/28/abstr.htmlPhase transitionsparabolic systemphase-field models. |
| spellingShingle | Gabriela Planas Existence of solutions to a phase-field model with phase-dependent heat absorption Electronic Journal of Differential Equations Phase transitions parabolic system phase-field models. |
| title | Existence of solutions to a phase-field model with phase-dependent heat absorption |
| title_full | Existence of solutions to a phase-field model with phase-dependent heat absorption |
| title_fullStr | Existence of solutions to a phase-field model with phase-dependent heat absorption |
| title_full_unstemmed | Existence of solutions to a phase-field model with phase-dependent heat absorption |
| title_short | Existence of solutions to a phase-field model with phase-dependent heat absorption |
| title_sort | existence of solutions to a phase field model with phase dependent heat absorption |
| topic | Phase transitions parabolic system phase-field models. |
| url | http://ejde.math.txstate.edu/Volumes/2007/28/abstr.html |
| work_keys_str_mv | AT gabrielaplanas existenceofsolutionstoaphasefieldmodelwithphasedependentheatabsorption |