Generalized Navier–Stokes Equations with Non-Homogeneous Boundary Conditions

Generalized Navier–Stokes Equations with Non-Homogeneous Boundary Conditions

We study the generalized unsteady Navier–Stokes equations with a memory integral term under non-homogeneous Dirichlet boundary conditions. Using a suitable fractional Sobolev space for the boundary data, we introduce the concept of strong solutions. The global-in-time existence and uniqueness of a s...

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Bibliographic Details
Main Authors: Evgenii S. Baranovskii, Mikhail A. Artemov
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Fractal and Fractional
Subjects:
generalized Navier–Stokes equations
non-homogeneous Dirichlet boundary condition
fractional Sobolev spaces
trace operator
divergence-free lifting operator
strong solutions
Online Access:https://www.mdpi.com/2504-3110/6/7/373

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https://www.mdpi.com/2504-3110/6/7/373

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