Comptes Rendus
A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation
Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 251-259.

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.

Online First:
Published online:
DOI: 10.5802/crmeca.165
Keywords: Viscoelastic flows, Maxwell fluids, Symmetric-hyperbolic systems of conservation laws, Elastodynamics of hyperelastic materials, Stress relaxation

Sébastien Boyaval 1, 2

1 LHSV, Ecole des Ponts, EDF R&D, Chatou, France
2 MATHERIALS, Inria, Paris, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
     author = {S\'ebastien Boyaval},
     title = {A viscoelastic flow model of {Maxwell-type} with a symmetric-hyperbolic formulation},
     journal = {Comptes Rendus. M\'ecanique},
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     doi = {10.5802/crmeca.165},
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Sébastien Boyaval. A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 251-259. doi : 10.5802/crmeca.165.

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