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Article: ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS

TitleENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS
Authors
Li, DongQuan, ChaoyuXu, Jiao
KeywordsAllen-Cahn
Cahn-Hilliard
energy dissipation
Time-fractional derivative
Issue Date2022
Citation
Communications on Pure and Applied Analysis, 2022, v. 21, n. 10, p. 3371-3387 How to Cite?
DOI: http://dx.doi.org/10.3934/cpaa.2022104
AbstractWe 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 Identifierhttp://hdl.handle.net/10722/326624
ISSN
1534-0392
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 0.744
ISI Accession Number ID
WOS:000814116100001

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorQuan, Chaoyu-
dc.contributor.authorXu, Jiao-
dc.date.accessioned2023-03-31T05:25:19Z-
dc.date.available2023-03-31T05:25:19Z-
dc.date.issued2022-
dc.identifier.citationCommunications on Pure and Applied Analysis, 2022, v. 21, n. 10, p. 3371-3387-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/10722/326624-
dc.description.abstractWe 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.languageeng-
dc.relation.ispartofCommunications on Pure and Applied Analysis-
dc.subjectAllen-Cahn-
dc.subjectCahn-Hilliard-
dc.subjectenergy dissipation-
dc.subjectTime-fractional derivative-
dc.titleENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.3934/cpaa.2022104-
dc.identifier.scopuseid_2-s2.0-85138566037-
dc.identifier.volume21-
dc.identifier.issue10-
dc.identifier.spage3371-
dc.identifier.epage3387-
dc.identifier.eissn1553-5258-
dc.identifier.isiWOS:000814116100001-

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