Published on:

8 February 2024

Primary Category:

Analysis of PDEs

Paper Authors:

Sergey E. Mikhailov

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Proves existence of periodic solutions to nonstationary anisotropic Navier-Stokes equations

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Allows variable viscosity coefficients in space and time

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Employs Galerkin method with Bessel operator eigenfunction bases

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Covers arbitrary dimension n ≥ 2

Existence of Periodic Solutions for Evolution Anisotropic Navier-Stokes Equations

This paper proves the existence of periodic solutions in arbitrary dimensions to the nonstationary Navier-Stokes equations governing anisotropic fluids, allowing for variable viscosity coefficients in space and time under a relaxed ellipticity condition. A Galerkin method is used with eigenfunction bases for the periodic Bessel potential operator.

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