Well-posedness, regularity and asymptotic analyses for a fractional phase field system

DOI10.3233/ASY-191524zbMath1443.35154arXiv1806.04625OpenAlexW2968564293MaRDI QIDQ5208807

Gianni Gilardi, Pierluigi Colli

Publication date: 10 January 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04625

zbMATH Keywords

regularityasymptoticswell-posednessphase field systemfractional operatorsAllen-Cahn equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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