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Article Dans Une Revue ESAIM: Proceedings and Surveys Année : 2023

A class of symmetric-hyperbolic PDEs modelling fluid and solid continua

Résumé

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.
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Dates et versions

hal-04223434 , version 1 (03-10-2023)

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  • HAL Id : hal-04223434 , version 1

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Sébastien Boyaval. A class of symmetric-hyperbolic PDEs modelling fluid and solid continua. ESAIM: Proceedings and Surveys, In press. ⟨hal-04223434⟩
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