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The existence and dimension of the attractor for a 3D flow of a non-Newtonian fluid subject to dynamic boundary conditions

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2024

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Pražák, Dalibor

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Applicable Analysis. Taylor & Francis. 2024, 103(1), S. 166-183. ISSN 0003-6811. eISSN 1563-504X. Verfügbar unter: doi: 10.1080/00036811.2023.2178424

Zusammenfassung

We consider a non-Newtonian incompressible 3D fluid of Ladyzhenskaya type, in the setting of the dynamic boundary condition. Assuming sufficient growth rate of the stress tensor with respect to the velocity gradient, we establish explicit dimension estimate of the global attractor in terms of the physical parameters of the problem.

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Fachgebiet (DDC)
510 Mathematik

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Non-Newtonian fluids, dynamic boundary conditions, attractors of evolution equations

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ISO 690PRAŽÁK, Dalibor, Buddhika PRIYASAD, 2024. The existence and dimension of the attractor for a 3D flow of a non-Newtonian fluid subject to dynamic boundary conditions. In: Applicable Analysis. Taylor & Francis. 2024, 103(1), S. 166-183. ISSN 0003-6811. eISSN 1563-504X. Verfügbar unter: doi: 10.1080/00036811.2023.2178424
BibTex
@article{Prazak2024-01-02exist-71797,
  year={2024},
  doi={10.1080/00036811.2023.2178424},
  title={The existence and dimension of the attractor for a 3D flow of a non-Newtonian fluid subject to dynamic boundary conditions},
  number={1},
  volume={103},
  issn={0003-6811},
  journal={Applicable Analysis},
  pages={166--183},
  author={Pražák, Dalibor and Priyasad, Buddhika}
}
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