--- _id: '8792' abstract: - lang: eng text: This paper is concerned with a non-isothermal Cahn-Hilliard model based on a microforce balance. The model was derived by A. Miranville and G. Schimperna starting from the two fundamental laws of Thermodynamics, following M. Gurtin's two-scale approach. The main working assumptions are made on the behaviour of the heat flux as the absolute temperature tends to zero and to infinity. A suitable Ginzburg-Landau free energy is considered. Global-in-time existence for the initial-boundary value problem associated to the entropy formulation and, in a subcase, also to the weak formulation of the model is proved by deriving suitable a priori estimates and by showing weak sequential stability of families of approximating solutions. At last, some highlights are given regarding a possible approximation scheme compatible with the a-priori estimates available for the system. acknowledgement: G. Schimperna has been partially supported by GNAMPA (Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto Nazionale di Alta Matematica). article_processing_charge: No article_type: original author: - first_name: Alice full_name: Marveggio, Alice id: 25647992-AA84-11E9-9D75-8427E6697425 last_name: Marveggio - first_name: Giulio full_name: Schimperna, Giulio last_name: Schimperna citation: ama: Marveggio A, Schimperna G. On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations. 2021;274(2):924-970. doi:10.1016/j.jde.2020.10.030 apa: Marveggio, A., & Schimperna, G. (2021). On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2020.10.030 chicago: Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard Model Based on a Microforce Balance.” Journal of Differential Equations. Elsevier, 2021. https://doi.org/10.1016/j.jde.2020.10.030. ieee: A. Marveggio and G. Schimperna, “On a non-isothermal Cahn-Hilliard model based on a microforce balance,” Journal of Differential Equations, vol. 274, no. 2. Elsevier, pp. 924–970, 2021. ista: Marveggio A, Schimperna G. 2021. On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations. 274(2), 924–970. mla: Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard Model Based on a Microforce Balance.” Journal of Differential Equations, vol. 274, no. 2, Elsevier, 2021, pp. 924–70, doi:10.1016/j.jde.2020.10.030. short: A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970. date_created: 2020-11-22T23:01:26Z date_published: 2021-02-15T00:00:00Z date_updated: 2023-08-04T11:12:16Z day: '15' department: - _id: JuFi doi: 10.1016/j.jde.2020.10.030 external_id: arxiv: - '2004.02618' isi: - '000600845300023' intvolume: ' 274' isi: 1 issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2004.02618 month: '02' oa: 1 oa_version: Preprint page: 924-970 publication: Journal of Differential Equations publication_identifier: eissn: - '10902732' issn: - '00220396' publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: On a non-isothermal Cahn-Hilliard model based on a microforce balance type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 274 year: '2021' ...