Analysis of a viscoelastic phase separation model

Abstract

A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics, and we study well-posedness of the model, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. A good qualitative agreement with mesoscopic simulations is observed in numerical tests.

10 pages, 8 figures

References in corpus (2)

• Lattice Boltzmann simulations of soft matter systems
• Systematic derivation of hydrodynamic equations for viscoelastic phase separation

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