---
_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
arxiv: 1
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. <i>Journal of Differential Equations</i>. 2021;274(2):924-970.
    doi:<a href="https://doi.org/10.1016/j.jde.2020.10.030">10.1016/j.jde.2020.10.030</a>
  apa: Marveggio, A., &#38; Schimperna, G. (2021). On a non-isothermal Cahn-Hilliard
    model based on a microforce balance. <i>Journal of Differential Equations</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.jde.2020.10.030">https://doi.org/10.1016/j.jde.2020.10.030</a>
  chicago: Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard
    Model Based on a Microforce Balance.” <i>Journal of Differential Equations</i>.
    Elsevier, 2021. <a href="https://doi.org/10.1016/j.jde.2020.10.030">https://doi.org/10.1016/j.jde.2020.10.030</a>.
  ieee: A. Marveggio and G. Schimperna, “On a non-isothermal Cahn-Hilliard model based
    on a microforce balance,” <i>Journal of Differential Equations</i>, 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.” <i>Journal of Differential Equations</i>,
    vol. 274, no. 2, Elsevier, 2021, pp. 924–70, doi:<a href="https://doi.org/10.1016/j.jde.2020.10.030">10.1016/j.jde.2020.10.030</a>.
  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'
...