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arXiv · 2506.10278

Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations

S. N. Antontsev·H. B. de Oliveira·I. V. Kuznetsov·D. A. Prokudin·Kh. Khompysh
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Abstract

An initial-and boundary-value problem for the Kelvin-Voigt system, modeling a mixture of n incompressible and viscoelastic fluids, with non-constant density, is investigated in this work. The existence of global-in-time weak solutions is established: velocity, density and pressure. Under additional regularity assumptions, we also prove the uniqueness of the solution.

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S. N. Antontsev, H. B. de Oliveira, I. V. Kuznetsov, D. A. Prokudin, Kh. Khompysh. 2025-06-12. Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations. https://arxiv.org/abs/2506.10278

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