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On pressure stabilization method for nonstationary Navier-Stokes equations

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The first author was partially supproted by JSPS Grant-in-aid for Scientific Research (C) #15K04946.
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  • In this paper, we consider the nonstationary Navier-Stokes equations approximated by the pressure stabilization method. We can obtain the local in time existence theorem for the approximated Navier-Stokes equations. Moreover we can obtain the error estimate between the solution to the usual Navier-Stokes equations and the Navier-Stokes equations approximated by the pressure stabilization method.

    Mathematics Subject Classification: Primary: 35K20; Secondeary: 76D05.

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