On periodic solutions for one-phase and two-phase problems of the Navier-Stokes equations

30 Sep 2019 Eiter Thomas Kyed Mads Shibata Yoshihiro

This paper is devoted to proving the existence of time-periodic solutions of one-phase or two-phase problems for the Navier-Stokes equations with small periodic external forces when the reference domain is close to a ball. Since our problems are formulated in time-dependent unknown domains, the problems are reduced to quasiliner systems of parabolic equations with non-homogeneous boundary conditions or transmission conditions in fixed domains by using the so-called Hanzawa transform... (read more)

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