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math.AP2021
Non-isothermal viscoelastic flows with conservation laws and relaxation
Sébastien Boyaval, Mark Dostalík
We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the…
math.AP2020
Viscoelastic flows of Maxwell fluids with conservation laws
Sébastien Boyaval
We consider multi-dimensional extensions of Maxwell's seminal rheo-logical equation for 1D viscoelastic flows. We aim at a causal model for compressible flows, defined by semi-grou…