4 papers
On dynamic stability of energetically stable equilibria of the Navier-Stokes-Korteweg flows
Yoshikazu Giga, Naoto Kajiwara, Kazuyuki Tsuda
We consider the Navier-Stokes-Korteweg equations in a bounded domain or a periodic cell. The pressure considered in this paper may not be monotone with respect to the density so th…
The time periodic problem for the Navier-Stokes equations in exterior domains in weighted spaces
Reinhard Farwig, Kazuyuki Tsuda
The paper considers the time periodic problem of the Navier-Stokes system in an exterior domain under time periodic external forces. Existence of periodic mild solutions is obtaine…
Perturbation theory of the compressible Navier-Stokes equations and its application
Kazuyuki Tsuda
In this article, a perturbation theory of the compressible Navier-Stokes equations in is studied to investigate decay estimate of solutions around a non…
Time periodic problem of compressible Euler equations with damping on the whole space
Houzhi Tang, Kazuyuki Tsuda
In this article, time periodic problem of the compressible Euler equations with damping on the whole space is studied. It is well known that in the Euler system, long-time behavior…