| Title:
|
On non-homogeneous viscous incompressible fluids. Existence of regular solutions (English) |
| Author:
|
Lemoine, Jérôme |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
697-715 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when $\Omega$ is smooth enough, there exists a local strong regular solution (which is global for small regular data). (English) |
| Keyword:
|
Navier-Stokes equations |
| MSC:
|
35B65 |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 0940.35153 |
| idMR:
|
MR1603698 |
| . |
| Date available:
|
2009-01-08T18:37:26Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118967 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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[10] Simon J.: Nonhomogeneous viscous incompressible fluids: existence of velocity, density, and pressure.SIAM J. Math. Anal. 21 5 (1990), 1093-1117. Zbl 0702.76039, MR 1062395 |
| Reference:
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| Reference:
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[12] Temam R.: Navier-Stokes Equations.North-Holland (second edition), 1979. Zbl 1157.35333 |
| Reference:
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[13] Triebel H.: Interpolation Theory, Function Spaces, Differential Operators.North-Holland Publishing Company, 1978. Zbl 0830.46028, MR 0503903 |
| . |
