Homogenization of a submerged two-level bristle structure for modeling in biotechnology

DOI10.33048/semi.2020.17.100zbMath1447.35034OpenAlexW3116641473MaRDI QIDQ2201010

E. V. Sazhenkova, S. A. Sazhenkov

Publication date: 24 September 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.100

zbMATH Keywords

Navier-Stokes equationsperiodic structurebiotechnologycompressible fluidbionicselastic solidLame's equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stress (74A10) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) General biology and biomathematics (92B05)

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Cites Work

• Preface: Fluid-structure interactions with applications to biology
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Non-homogeneous media and vibration theory
• Homogenization and porous media
• Multiscale convergence and reiterated homogenisation
• Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids
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