A generalization of a theorem by Kato on Navier-Stokes equations (Q1382017)
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scientific article; zbMATH DE number 1136591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of a theorem by Kato on Navier-Stokes equations |
scientific article; zbMATH DE number 1136591 |
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A generalization of a theorem by Kato on Navier-Stokes equations (English)
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28 April 1998
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The aim of this paper is to prove that Kato's result, on existence of global solutions to the Navier-Stokes system in \(C([0,\infty); L^3(\mathbb{R}^3))\), holds true under a much weaker condition on the initial data. Furthermore, using the previous result, the author obtains an existence theorem of self-similar solutions for the Navier-Stokes equations.
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Navier-Stokes equation
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self-similar solution
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