Non-stationary Stokes flows under leak boundary conditions of friction type (Q2708333)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-stationary Stokes flows under leak boundary conditions of friction type |
scientific article |
Statements
3 July 2001
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non-stationary Stokes problem
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slip boundary conditions
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nonlinear semigroup theory
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subdifferential
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stress tensor
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uniqueness
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existence of solution
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leak boundary conditions
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friction
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Non-stationary Stokes flows under leak boundary conditions of friction type (English)
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The author considers the non-stationary Stokes problem with nonstandard boundary conditions on a part of boundary, the so-called leak and slip boundary conditions of friction type which can be shortly described in terms of subdifferential \( -\sigma \in g \partial(|u|)\), where \(\sigma\) denotes the stress tensor and \(u\) is the velocity field. Using the nonlinear semigroup theory, it is shown that the original problem is uniquely strongly solvable for smooth initial velocities.
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