| Title | ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS |
| Author | |
| Corresponding Author | Xu, Jiao |
| Publication Years | 2022-06-01
|
| DOI | |
| Source Title | |
| ISSN | 1534-0392
|
| EISSN | 1553-5258
|
| Volume | 21Issue:10Pages:3371-3387 |
| 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 derivative. 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 dissipation laws. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | NSFC[11901281]
; Stable Support Plan Program of Shenzhen Natural Science Fund[20200925160747003]
; Shenzhen Science and Technology Program[RCYX20210609104358076]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
; Mathematics
|
| WOS Accession No | WOS:000814116100001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:2
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/347953 |
| Department | Department of Mathematics |
| Affiliation | 1.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen, Peoples R China 2.Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China |
| First Author Affilication | Southern University of Science and Technology; Department of Mathematics |
| Corresponding Author Affilication | Southern University of Science and Technology |
| First Author's First Affilication | Southern University of Science and Technology |
| Recommended Citation GB/T 7714 |
LI, Dong,Quan, Chaoyu,Xu, Jiao. ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2022,21(10):3371-3387.
|
| APA |
LI, Dong,Quan, Chaoyu,&Xu, Jiao.(2022).ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,21(10),3371-3387.
|
| MLA |
LI, Dong,et al."ENERGY-DISSIPATION FOR TIME-FRACTIONAL PHASE-FIELD EQUATIONS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 21.10(2022):3371-3387.
|
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 1534-0392_2022_10_33（388KB） | Restricted Access | -- | ||||
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