Sharp decay characterization for the compressible Navier-Stokes equations (Q6611888)
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scientific article; zbMATH DE number 7919773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp decay characterization for the compressible Navier-Stokes equations |
scientific article; zbMATH DE number 7919773 |
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Sharp decay characterization for the compressible Navier-Stokes equations (English)
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27 September 2024
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The flow of the barotropic compressible fluid is governed by the compressible Navier-Stokes equations. This article examines the time-decay of the strong solution, whose existence is given for small initial data, in means of Besov spaces. Authors not only derive the proper decay rate estimates but they also conclude that the control over the low-frequency part of the initial data is crucial and it cannot be disregarded.
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strong solution existence
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upper/lower frequency bound
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power-law decay estimate
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critical Besov space
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low-frequency initial perturbation
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Wiegner argument
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