Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect...
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Published in | Applicable analysis Vol. 93; no. 7; pp. 1477 - 1494 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
03.07.2014
Taylor & Francis Ltd |
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Abstract | In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect to Brinkman's and Forchheimer's coefficients. Finally, we show that the weak solution of the corresponding stationary problem is stable. |
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AbstractList | In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect to Brinkman's and Forchheimer's coefficients. Finally, we show that the weak solution of the corresponding stationary problem is stable. |
Author | Razafimandimby, P.A. Djoko, J.K. |
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Cites_doi | 10.1142/S0218202507001899 10.1137/0732081 10.1016/S1631-0705(03)00047-1 10.2514/3.301 10.1111/1467-9590.00116 10.1142/S0218202505000686 10.1142/S0218202594000406 10.1108/09615530010338169 10.1002/(SICI)1097-0363(19960315)22:5<325::AID-FLD307>3.0.CO;2-Y 10.1016/j.aml.2005.11.002 10.1016/j.amc.2008.06.035 10.1007/978-3-662-25762-3 10.1002/mma.802 10.1007/BF02120318 10.1007/978-3-662-12613-4 10.1016/S0377-0427(02)00520-4 10.1016/j.cma.2008.09.011 |
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References | Fujita H (CIT0005) 2001; 19 CIT0010 CIT0031 Kawarda H (CIT0011) 1998; 11 Raviart PA (CIT0034) 1983 Ames KA (CIT0021) 1997 Forchheimer P (CIT0015) 1901; 45 CIT0014 CIT0036 CIT0013 CIT0035 CIT0016 CIT0018 CIT0019 Nield DA (CIT0017) 1991; 12 CIT0023 CIT0022 Suito H (CIT0012) 2004; 11 Payne LE (CIT0020) 1996; 9 Kuznetsov AV (CIT0024) 1991; 10 CIT0027 CIT0026 CIT0007 CIT0029 CIT0009 |
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Snippet | In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak... |
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SubjectTerms | Analysis Boundary conditions Brinkman-Forchheimer equations Continuity continuous dependence Friction Mathematical analysis Regularization Slip slip boundary conditions stability Uniqueness weak solutions |
Title | Analysis of the Brinkman-Forchheimer equations with slip boundary conditions |
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