\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space (Q1124053)
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scientific article; zbMATH DE number 4111209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space |
scientific article; zbMATH DE number 4111209 |
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\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space (English)
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1987
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A stability analysis for the initial value problem for the non-stationary Navier-Stokes equations in the whole space \({\mathbb{R}}^ 3\) is presented. It consists of conditions on perturbed initial data such that there exists a uniquely determined global solution which satisfies an estimate with input to the unperturbed solution. This estimate provides not only the stability properties but also the decaying behavior.
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\(L^ p\)-stability
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strong solutions
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initial value problem
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non- stationary Navier-Stokes equations
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global solution
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