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Convergence Results for Forchheimer’s Equations for Fluid Flow in Porous Media

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Abstract.

The Forchheimer equations for non-slow flow in a saturated porous medium are studied. We prove the convergence results for both the first and the second Forchheimer coefficients.

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Correspondence to Yi Du.

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Communicated by G. P. Galdi

The work was supported by the national natural Science Foundation of China (Grants #10826069, #10471050), Guangdong Province natural Science Foundation of China (Grants #031495, #7005795), University Special Research Fund for Ph.D. Program (Grant #20060574002) and the Youth Science Foundation of Guangdong University of Finance (Grant #08XJ03-06).

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Liu, Y., Du, Y. & Lin, C. Convergence Results for Forchheimer’s Equations for Fluid Flow in Porous Media. J. Math. Fluid Mech. 12, 576–593 (2010). https://doi.org/10.1007/s00021-009-0303-8

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  • DOI: https://doi.org/10.1007/s00021-009-0303-8

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