Incompressible limits of the Navier-Stokes equations for all time |
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| Authors: | Yaobin Ou |
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| Institution: | Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China |
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| Abstract: | We study the asymptotic behaviors of the regular solutions to the compressible Navier-Stokes equations for “well-prepared” initial data for all time as the Mach number tends to zero, by deriving a differential inequality with certain decay property. The estimates obtained in this paper are uniform both in time and Mach number. |
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| Keywords: | Incompressible limit Mach number Navier-Stokes equations |
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