Global solvability of one-dimensional axially-symmetric micropolar fluid equations

V. V. Neverov

Lavrentyev Institute of Hydrodynamics SB RAS, pr. Akad. Lavrentyeva 15, Novosibirsk 630090, Russia

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.

Keywords: micropolar fluid, global existence theorem, axial symmetry. .

UDC: 517.958

Received: 15.09.2020
Revised: 15.09.2020
Accepted: 15.10.2020

DOI: 10.33048/SIBJIM.2021.24.105

 English version: Journal of Applied and Industrial Mathematics, 2021, 15:1, 87–96

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