Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains (Q1203594)
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scientific article; zbMATH DE number 119944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains |
scientific article; zbMATH DE number 119944 |
Statements
Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains (English)
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10 February 1993
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The authors give two imbedding theorems for solenoidal vector fields in \(L^ q\)-spaces on exterior domains. The results obtained are used to prove the regularity at infinity of weak solutions of the stationary Navier-Stokes equations. The same problem on the Stokes equations is investigated, too. A uniqueness criterion for weak solutions of the Navier-Stokes equations is also established.
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imbedding theorems for solenoidal vector fields
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regularity at infinity of weak solutions
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stationary Navier-Stokes equations
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Stokes equations
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uniqueness
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