Geodesic
A class of symmetric-hyperbolic PDEs modelling fluid and solid continua
Sébastien Boyaval1, 2
1 LHSV, Ecole des Ponts, EDF R&D, Chatou, France
2 MATHERIALS, Inria, Paris, France
ESAIM. Proceedings, Tome 76 (2024), pp. 2-19.

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We generalize a new symmetric-hyperbolic system of PDEs proposed in [ESAIM:M2AN 55 (2021) 807-831] for Maxwell fluids to a class of systems that define unequivocally multi-dimensional visco-elastic flows.Precisely, within a general setting for continuum mechanics, we specify constitutive assumptions i) that ensure the unequivocal definition of motions satisfying widely-admitted physical principles, and ii) that contain [ESAIM:M2AN 55 (2021) 807-831] as one particular realization of those assumptions.The new class can capture the mechanics of various materials, from solids to viscous fluids, possibly with temperature dependence and heat conduction.
DOI : 10.1051/proc/202476002

Sébastien Boyaval 1, 2

1 LHSV, Ecole des Ponts, EDF R&D, Chatou, France
2 MATHERIALS, Inria, Paris, France 
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     author = {S\'ebastien Boyaval},
     title = {A class of symmetric-hyperbolic {PDEs} modelling fluid and solid continua},
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Sébastien Boyaval. A class of symmetric-hyperbolic PDEs modelling fluid and solid continua. ESAIM. Proceedings, Tome 76 (2024), pp. 2-19. doi : 10.1051/proc/202476002. http://geodesic.mathdoc.fr/articles/10.1051/proc/202476002/

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