On existence, uniqueness and stability of solutions to Cahn–Hilliard/Allen–Cahn systems with cross-kinetic coupling
| dc.contributor.author | Brunk, Aaron | |
| dc.contributor.author | Egger, Herbert | |
| dc.contributor.author | Oyedeji, Timileyin David | |
| dc.contributor.author | Yang, Yangyiwei | |
| dc.contributor.author | Xu, Bai Xiang | |
| dc.date.accessioned | 2025-07-24T13:13:55Z | |
| dc.date.available | 2025-07-24T13:13:55Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by the Galerkin approximation and a-priori estimates in strong norms. Relative energy estimates are used to derive a general nonlinear stability estimate. As a consequence, a weak–strong uniqueness principle is obtained and stability with respect to model parameters is investigated. | en |
| dc.identifier.doi | https://doi.org/10.25358/openscience-12815 | |
| dc.identifier.uri | https://openscience.ub.uni-mainz.de/handle/20.500.12030/12836 | |
| dc.language.iso | eng | |
| dc.rights | CC-BY-4.0 | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.ddc | 510 Mathematics | en |
| dc.title | On existence, uniqueness and stability of solutions to Cahn–Hilliard/Allen–Cahn systems with cross-kinetic coupling | en |
| dc.type | Zeitschriftenaufsatz | |
| jgu.journal.title | Nonlinear analysis / Real world applications | |
| jgu.journal.volume | 77 | |
| jgu.organisation.department | FB 08 Physik, Mathematik u. Informatik | |
| jgu.organisation.name | Johannes Gutenberg-Universität Mainz | |
| jgu.organisation.number | 7940 | |
| jgu.organisation.place | Mainz | |
| jgu.organisation.ror | https://ror.org/023b0x485 | |
| jgu.pages.alternative | 104051 | |
| jgu.publisher.doi | 10.1016/j.nonrwa.2023.104051 | |
| jgu.publisher.issn | 1468-1218 | |
| jgu.publisher.name | Elsevier Science | |
| jgu.publisher.place | Amsterdam [u.a.] | |
| jgu.publisher.year | 2024 | |
| jgu.rights.accessrights | openAccess | |
| jgu.subject.ddccode | 510 | |
| jgu.subject.dfg | Naturwissenschaften | |
| jgu.type.dinitype | Article | en_GB |
| jgu.type.resource | Text | |
| jgu.type.version | Published version |