Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911001614483456 |
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| author | Antontsev, S. N. de Oliveira, H. B. Kuznetsov, I. V. Prokudin, D. A. Khompysh, Kh. |
| author_facet | Antontsev, S. N. de Oliveira, H. B. Kuznetsov, I. V. Prokudin, D. A. Khompysh, Kh. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10278 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations Antontsev, S. N. de Oliveira, H. B. Kuznetsov, I. V. Prokudin, D. A. Khompysh, Kh. Analysis of PDEs 35Q35, 76D03, 76T30 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. |
| title | Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations |
| topic | Analysis of PDEs 35Q35, 76D03, 76T30 |
| url | https://arxiv.org/abs/2506.10278 |