On linearization principle for Navier-Stokes system with dynamic slip boundary condition (Q6166256)
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scientific article; zbMATH DE number 7707953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linearization principle for Navier-Stokes system with dynamic slip boundary condition |
scientific article; zbMATH DE number 7707953 |
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On linearization principle for Navier-Stokes system with dynamic slip boundary condition (English)
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6 July 2023
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In this paper, the authors study incompressible Navier-Stokes equations in a bounded 3D regular domain, coupled with the so-called dynamic boundary condition. For given a smooth stationary state, they prove that the linearized equation has a complete basis of generalized eigenfunctions, and that the nonlinear stability depends on the supremum of the real part of spectrum in the usual way.
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nonlinear stability
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eigenvalue
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generalized eigenfunction basis
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spectrum
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weak solution
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energy inequality
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dynamic Stokes operator
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Hilbert-Schmidt operator
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