Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny
We investigate properties of solutions of systems of nonlinear partial differential equations describing evolutionary flow of certain class of generalized Newtonian fluids including in particular various variants of the power-law models. We study the problem with perfect slip boundary conditions. Th...
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| Format: | Dissertation |
| Language: | Czech |
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2009
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| Online Access: | http://www.nusl.cz/ntk/nusl-275310 |
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ndltd-nusl.cz-oai-invenio.nusl.cz-2753102021-03-29T05:12:04Z Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny Regularity of solutions of systems describing generalized Newtonian fluids Tichý, Jakub Kaplický, Petr Pokorný, Milan We investigate properties of solutions of systems of nonlinear partial differential equations describing evolutionary flow of certain class of generalized Newtonian fluids including in particular various variants of the power-law models. We study the problem with perfect slip boundary conditions. The nonlinear elliptic operator, which is related to the stress tensor, has a p-potential structure. We focus especially on the case p = 2. The main part of the work deals with regularity of second space derivatives and overcoming new di±culties connected with usage of considered boundary conditions. 2009 info:eu-repo/semantics/masterThesis http://www.nusl.cz/ntk/nusl-275310 cze info:eu-repo/semantics/restrictedAccess |
| collection |
NDLTD |
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Czech |
| format |
Dissertation |
| sources |
NDLTD |
| description |
We investigate properties of solutions of systems of nonlinear partial differential equations describing evolutionary flow of certain class of generalized Newtonian fluids including in particular various variants of the power-law models. We study the problem with perfect slip boundary conditions. The nonlinear elliptic operator, which is related to the stress tensor, has a p-potential structure. We focus especially on the case p = 2. The main part of the work deals with regularity of second space derivatives and overcoming new di±culties connected with usage of considered boundary conditions. |
| author2 |
Kaplický, Petr |
| author_facet |
Kaplický, Petr Tichý, Jakub |
| author |
Tichý, Jakub |
| spellingShingle |
Tichý, Jakub Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| author_sort |
Tichý, Jakub |
| title |
Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| title_short |
Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| title_full |
Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| title_fullStr |
Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| title_full_unstemmed |
Regularita řešení systémů popisujících zobecněné Newtonovské tekutiny |
| title_sort |
regularita řešení systémů popisujících zobecněné newtonovské tekutiny |
| publishDate |
2009 |
| url |
http://www.nusl.cz/ntk/nusl-275310 |
| work_keys_str_mv |
AT tichyjakub regularitaresenisystemupopisujicichzobecnenenewtonovsketekutiny AT tichyjakub regularityofsolutionsofsystemsdescribinggeneralizednewtonianfluids |
| _version_ |
1719389015962025984 |