Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions:
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Schriftenreihe: | Dissertationes mathematicae
400 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 46 S. |
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| 245 | 1 | 0 | |a Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions |c W. M. Zajączkowski |
| 264 | 1 | |a Warszawa |b Polska Akad. Nauk, Inst. Matematyczny |c 2002 | |
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Datensatz im Suchindex
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| adam_text | Titel: Existence of solutions vanishing near some axis for the nonstationary Stokes system with boudary sli
Autor: Zaja̜czkowski, Wojciech M
Jahr: 2002
CONTENTS
1. Introduction........................................
2. Notation and auxiliary results.......................
3. Existence of solutions to problem (1.4)..............
4. Existence of solutions to problem (1.4). Continuation
5. Existence of solutions to (1.1).......................
References.............................................
5
7
10
27
45
46
2000 Mathematics Subject Classification: 76D05, 35Q05.
Key words and phrases: Stokes system, initial-boundary value problems, regularity in Sobolev
spaces with weights, conical point theory.
The paper is supported by Polish KBN Grant nr 2P03A-003-14.
Received 12.10.2000; revised 31.5.2001.
We examine the nonstationary Stokes system in a bounded domain with the boundary slip
conditions. We assume that there exists a line which crosses the domain and that the data
belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then
the existence of solutions in Sobolev spaces with the corresponding weights is proved.
Abstract
|
| any_adam_object | 1 |
| author | Zajączkowski, Wojciech M. |
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| discipline | Mathematik |
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| id | DE-604.BV014220147 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:59:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009750194 |
| oclc_num | 49695664 |
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| physical | 46 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Zajączkowski, Wojciech M. Verfasser (DE-588)1089338880 aut Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions W. M. Zajączkowski Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 46 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 400 Mathematisches Modell Boundary value problems Numerical solutions Differential equations Numerical solutions Fluid dynamics Mathematical models Initial value problems Numerical solutions Sobolev spaces Dissertationes mathematicae 400 (DE-604)BV000003039 400 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zajączkowski, Wojciech M. Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions Dissertationes mathematicae Mathematisches Modell Boundary value problems Numerical solutions Differential equations Numerical solutions Fluid dynamics Mathematical models Initial value problems Numerical solutions Sobolev spaces |
| title | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions |
| title_auth | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions |
| title_exact_search | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions |
| title_full | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions W. M. Zajączkowski |
| title_fullStr | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions W. M. Zajączkowski |
| title_full_unstemmed | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions W. M. Zajączkowski |
| title_short | Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions |
| title_sort | existence of solutions vanishing near some axis for the nonstationary stokes system with boundary slip conditions |
| topic | Mathematisches Modell Boundary value problems Numerical solutions Differential equations Numerical solutions Fluid dynamics Mathematical models Initial value problems Numerical solutions Sobolev spaces |
| topic_facet | Mathematisches Modell Boundary value problems Numerical solutions Differential equations Numerical solutions Fluid dynamics Mathematical models Initial value problems Numerical solutions Sobolev spaces |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750194&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
| work_keys_str_mv | AT zajaczkowskiwojciechm existenceofsolutionsvanishingnearsomeaxisforthenonstationarystokessystemwithboundaryslipconditions |