The convergence of non-Newtonian fluids to Navier-Stokes equations |
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| Authors: | Boling Guo |
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| Institution: | a Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China
b The Graduate School of China Academy of Engineering Physics, PO Box 2101, Beijing 100088, China |
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| Abstract: | In this paper, the convergence of solutions for incompressible dipolar viscous non-Newtonian fluids is investigated. We obtain the conclusion that the solutions of non-Newtonian fluids converge to the solutions of Navier-Stokes equations in the sense of L2-norm (resp. H1-norm), as the viscosities tend to zero and the initial data belong to H1(Ω) (resp. H2(Ω)). Moreover, we obtain L∞-norm convergence of solutions if the initial data belong to H2(Ω). |
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| Keywords: | Non-Newtonian fluids Navier-Stokes equations Convergence of solutions |
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