A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains (Q2062834)
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scientific article; zbMATH DE number 7451396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains |
scientific article; zbMATH DE number 7451396 |
Statements
A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains (English)
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3 January 2022
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The author deals with the two-dimensional Stokes initial boundary value problem in exterior domains, and the case of initial data \(u_{0}\in L^{\infty}\left( \Omega\right) ,\) divergence free in weak sense. \ The author also investigates the property \(\left\Vert u\left( t\right) \right\Vert _{\infty}\leq c\left\Vert u_{0}\right\Vert _{\infty}\) for all \(t>0\) and \(c\) independent of \(u\), and non-uniqueness of the solutions.
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Stokes problem
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well-posedness
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maximum modulus theorem
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0.93208957
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0.9235026
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0.9186675
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0.91731703
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0.90759695
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0.90680546
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