A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation
Maxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal m...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-02-01
|
| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.165/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825205983094243328 |
|---|---|
| author | Boyaval, Sébastien |
| author_facet | Boyaval, Sébastien |
| author_sort | Boyaval, Sébastien |
| collection | DOAJ |
| description | Maxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal multi-dimensional viscoelastic flows (as solutions to well-posed initial-value problems) we advocated in [ESAIM:M2AN 55 (2021), p. 807-831] an upper-convected Maxwell model for compressible flows with a symmetric-hyperbolic formulation. Here, that model is derived again, with new details. |
| format | Article |
| id | doaj-art-1a9cd9ee73bc414cb80656de40657c4a |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-1a9cd9ee73bc414cb80656de40657c4a2025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-02-01351S125125910.5802/crmeca.16510.5802/crmeca.165A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulationBoyaval, Sébastien0https://orcid.org/0000-0002-7813-5146LHSV, Ecole des Ponts, EDF R&D, Chatou, France; MATHERIALS, Inria, Paris, FranceMaxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal multi-dimensional viscoelastic flows (as solutions to well-posed initial-value problems) we advocated in [ESAIM:M2AN 55 (2021), p. 807-831] an upper-convected Maxwell model for compressible flows with a symmetric-hyperbolic formulation. Here, that model is derived again, with new details.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.165/Viscoelastic flowsMaxwell fluidsSymmetric-hyperbolic systems of conservation lawsElastodynamics of hyperelastic materialsStress relaxation |
| spellingShingle | Boyaval, Sébastien A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation Comptes Rendus. Mécanique Viscoelastic flows Maxwell fluids Symmetric-hyperbolic systems of conservation laws Elastodynamics of hyperelastic materials Stress relaxation |
| title | A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation |
| title_full | A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation |
| title_fullStr | A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation |
| title_full_unstemmed | A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation |
| title_short | A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation |
| title_sort | viscoelastic flow model of maxwell type with a symmetric hyperbolic formulation |
| topic | Viscoelastic flows Maxwell fluids Symmetric-hyperbolic systems of conservation laws Elastodynamics of hyperelastic materials Stress relaxation |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.165/ |
| work_keys_str_mv | AT boyavalsebastien aviscoelasticflowmodelofmaxwelltypewithasymmetrichyperbolicformulation AT boyavalsebastien viscoelasticflowmodelofmaxwelltypewithasymmetrichyperbolicformulation |