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- Publisher Website: 10.3934/cpaa.2022104
- Scopus: eid_2-s2.0-85138566037
- WOS: WOS:000814116100001
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Article: ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS
Title | ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS |
---|---|
Authors | |
Keywords | Allen-Cahn Cahn-Hilliard energy dissipation Time-fractional derivative |
Issue Date | 2022 |
Citation | Communications on Pure and Applied Analysis, 2022, v. 21, n. 10, p. 3371-3387 How to Cite? |
Abstract | We consider a class of time-fractional phase field models including the Allen-Cahn and Cahn-Hilliard equations. We establish several weighted positivity results for functionals driven by the Caputo time-fractional deriva- tive. Several novel criterions are examined for showing the positive-definiteness of the associated kernel functions. We deduce strict energy-dissipation for a number of non-local energy functionals, thereby proving fractional energy dis- sipation laws. |
Persistent Identifier | http://hdl.handle.net/10722/326624 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.744 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Dong | - |
dc.contributor.author | Quan, Chaoyu | - |
dc.contributor.author | Xu, Jiao | - |
dc.date.accessioned | 2023-03-31T05:25:19Z | - |
dc.date.available | 2023-03-31T05:25:19Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Communications on Pure and Applied Analysis, 2022, v. 21, n. 10, p. 3371-3387 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/10722/326624 | - |
dc.description.abstract | We consider a class of time-fractional phase field models including the Allen-Cahn and Cahn-Hilliard equations. We establish several weighted positivity results for functionals driven by the Caputo time-fractional deriva- tive. Several novel criterions are examined for showing the positive-definiteness of the associated kernel functions. We deduce strict energy-dissipation for a number of non-local energy functionals, thereby proving fractional energy dis- sipation laws. | - |
dc.language | eng | - |
dc.relation.ispartof | Communications on Pure and Applied Analysis | - |
dc.subject | Allen-Cahn | - |
dc.subject | Cahn-Hilliard | - |
dc.subject | energy dissipation | - |
dc.subject | Time-fractional derivative | - |
dc.title | ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.3934/cpaa.2022104 | - |
dc.identifier.scopus | eid_2-s2.0-85138566037 | - |
dc.identifier.volume | 21 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | 3371 | - |
dc.identifier.epage | 3387 | - |
dc.identifier.eissn | 1553-5258 | - |
dc.identifier.isi | WOS:000814116100001 | - |