5 papers · 1 filter
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…
Asymptotic profile for diffusion wave terms of the compressible Navier-Stokes-Korteweg system
Takayuki Kobayashi, Masashi Misawa, Kazuyuki Tsuda
Asymptotic profile for diffusion wave terms of solutions to the compressible Navier-Stokes-Korteweg system is studied on . The diffusion wave with time decay estimate is studi…
Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system
Takayuki KOBAYASHI, Kazuyuki TSUDA
Time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system is studied. Concerning the linearized problem, the decay estimate with diffusion wave property fo…
Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition
Kobayashi Takayuki, Kazuyuki Tsuda
Global existence of solutions to the compressible Navier-Stokes-Korteweg system around a constant state is studied. This system describes liquid-vapor two phase flow with phase tra…