Existence results for regularized equations of second-grade fluids with wall slip
In this paper, we study the equations governing the steady motion of a class of second-grade fluids in a bounded domain of $\mathbb{R}^n$, ${n=2,3}$, with the nonlinear slip boundary condition. We prove the existence of a weak solution without assuming smallness of the data. Moreover, we give estima...
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4450 |
| _version_ | 1797830583939760128 |
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| author | Evgenii Baranovskii |
| author_facet | Evgenii Baranovskii |
| author_sort | Evgenii Baranovskii |
| collection | DOAJ |
| description | In this paper, we study the equations governing the steady motion of a class of second-grade fluids in a bounded domain of $\mathbb{R}^n$, ${n=2,3}$, with the nonlinear slip boundary condition. We prove the existence of a weak solution without assuming smallness of the data. Moreover, we give estimates for weak solutions and show that the solution set is sequentially weakly closed. |
| first_indexed | 2024-04-09T13:39:29Z |
| format | Article |
| id | doaj.art-72f963d35dc94d49b0b4499b65d51e32 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:29Z |
| publishDate | 2015-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-72f963d35dc94d49b0b4499b65d51e322023-05-09T07:53:05ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-12-0120159111210.14232/ejqtde.2015.1.914450Existence results for regularized equations of second-grade fluids with wall slipEvgenii Baranovskii0Voronezh State University, Voronezh, RussiaIn this paper, we study the equations governing the steady motion of a class of second-grade fluids in a bounded domain of $\mathbb{R}^n$, ${n=2,3}$, with the nonlinear slip boundary condition. We prove the existence of a weak solution without assuming smallness of the data. Moreover, we give estimates for weak solutions and show that the solution set is sequentially weakly closed.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4450nonlinear pdeexistence theoremoperator theoryweak solutionssecond-grade fluidsslip boundary conditions |
| spellingShingle | Evgenii Baranovskii Existence results for regularized equations of second-grade fluids with wall slip Electronic Journal of Qualitative Theory of Differential Equations nonlinear pde existence theorem operator theory weak solutions second-grade fluids slip boundary conditions |
| title | Existence results for regularized equations of second-grade fluids with wall slip |
| title_full | Existence results for regularized equations of second-grade fluids with wall slip |
| title_fullStr | Existence results for regularized equations of second-grade fluids with wall slip |
| title_full_unstemmed | Existence results for regularized equations of second-grade fluids with wall slip |
| title_short | Existence results for regularized equations of second-grade fluids with wall slip |
| title_sort | existence results for regularized equations of second grade fluids with wall slip |
| topic | nonlinear pde existence theorem operator theory weak solutions second-grade fluids slip boundary conditions |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4450 |
| work_keys_str_mv | AT evgeniibaranovskii existenceresultsforregularizedequationsofsecondgradefluidswithwallslip |