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Global Solvability of One-Dimensional Axially-Symmetric Micropolar Fluid Equations

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Abstract

We prove the theorem of global existence of a weak solution to an one-dimensional initial-boundary value problem for the micropolar fluid equations under the condition of axial symmetry. The micropolar fluid model is a well-known generalization of the classical Navier–Stokes equations for the case when the rotation of the continuum particles is taken into account.

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Funding

The author was supported by the Russian Science Foundation (project no. 20–19–00058).

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia

    V. V. Neverov

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  1. V. V. Neverov
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Correspondence to V. V. Neverov.

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Translated by B.L. Vertgeim

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Neverov, V.V. Global Solvability of One-Dimensional Axially-Symmetric Micropolar Fluid Equations. J. Appl. Ind. Math. 15, 87–96 (2021). https://doi.org/10.1134/S1990478921010087

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  • DOI: https://doi.org/10.1134/S1990478921010087

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