Convergence results for MHD system.
Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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Badii, Maurizio (2003)
Rendiconti del Seminario Matematico
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Eduard Feireisl, Šárka Matušů-Nečasová (2011)
Applications of Mathematics
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The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillating riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets.
Hassen Aydi, Etienne Sandier (2009)
Annales de l'I.H.P. Analyse non linéaire
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Patrick Joly, Sébastien Tordeux (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this article, we derive a complete mathematical analysis of a coupled 1D-2D model for 2D wave propagation in media including thin slots. Our error estimates are illustrated by numerical results.