10 papers
Remarks on temperature-dependent Cahn--Hilliard equations
Mi-Ho Giga, Yoshikazu Giga, Naoto Kajiwara +1
We recall several derivations of temperature-dependent Cahn-Hilliard equations. The resulting equations are systems of mixed order. For a suitable subclass of equations we discuss…
The Stokes Operator on Exterior Domains in Homogeneous Weighted Function Spaces:From Weak Theory to -calculus to Fractional Domains
Reinhard Farwig, Kazuyuki Tsuda
We consider the Stokes operator on smooth exterior domains of in homogeneous Sobolev spaces with radially symmetric Muckenhoupt weigh…
Time periodic problem of the Navier-Stokes equations in an exterior domain with periodically moving boundary
Reinhard Farwig, Kazuyuki Tsuda
In this paper we consider the Navier-Stokes equations in exterior domains of , , with a periodically in time moving boundary and external forc…
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…
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…
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…
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…