Local existence theorems with unbounded set of input data and unboundedness of stable invariant manifolds for 3D Navier-Stokes equations (Q983434)
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scientific article; zbMATH DE number 5760012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local existence theorems with unbounded set of input data and unboundedness of stable invariant manifolds for 3D Navier-Stokes equations |
scientific article; zbMATH DE number 5760012 |
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Local existence theorems with unbounded set of input data and unboundedness of stable invariant manifolds for 3D Navier-Stokes equations (English)
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23 July 2010
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A local existence theorem for smooth solutions for 3D Navier-Stokes equations defined in a bounded domain with smooth boundary is proved, when the initial data belongs to a certain unbounded ellipsoid in a suitable function space. Moreover, the unboundedness of stable invariant manifolds for 3D Navier-Stokes equations is shown.
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local existence
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unbounded input data
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stable invariant manifold
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0.9032169
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0.9007875
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0.8995612
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0.89862823
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0.8893116
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0.88804436
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