Analysis of non-stationary Navier-Stokes equations approximated by the pressure stabilization method (Mathematical Analysis of Viscous Incompressible Fluid)

This article is based on the paper [T. Kubo and R. Matsui, On pressure stabilization method for nonstationary Navier-Stokes equations, Communications on Pure and Applied Analysis, 17, No.6 (2018), 2283-2307.] by the author and R. Matsui and the study with H. Kikuchi. More detail information and proofs can be found in [T. Kubo and R. Matsui, On pressure stabilization method for nonstationary Navier-Stokes equations, Communications on Pure and Applied Analysis, 17, No.6 (2018), 2283-2307.]( and [T. Kubo, Analysis of non-stationary Navier-Stokes equations approximated by the pressure stabilization method, RIMS Kokyuroku, 2107, 46-68.])