Initial-boundary value problem for equations of generalized Newtonian incompressible fluid (Q2785596)
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scientific article; zbMATH DE number 981722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial-boundary value problem for equations of generalized Newtonian incompressible fluid |
scientific article; zbMATH DE number 981722 |
Statements
27 October 1997
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Neumann boundary conditions
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Korn type inequalities
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existence
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weak solution
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uniqueness
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Initial-boundary value problem for equations of generalized Newtonian incompressible fluid (English)
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A study is undertaken of an initial-boundary value problem with the Neumann boundary conditions which governs the motion of a generalized incompressible fluid in a bounded domain \(\Omega\subset\mathbb{R}^3\), \(\partial\Omega\in C^1\). Using the Korn type inequalities, the author proves the existence of a weak solution. Moreover, for special classes of fluids uniqueness theorems are proved.
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