Kazuyuki Tsuda

activity

20192026

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4 papers · 1 filter

math.AP2026

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…

math.AP2026

The Stokes Operator on Exterior Domains in Homogeneous Weighted Function Spaces:From Weak Theory to $H^{\infty}$ -calculus to Fractional Domains

Reinhard Farwig, Kazuyuki Tsuda

We consider the Stokes operator $A$ on smooth exterior domains $Ω$ of $R^{n}$ in homogeneous Sobolev spaces $H_{w}^{κ, q} (Ω)$ with radially symmetric Muckenhoupt weigh…

math.AP2026

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 $R^{n}$ , $n \geq 3$ , with a periodically in time moving boundary $\partial Ω (t)$ and external forc…

math.AP2026

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…

Remarks on temperature-dependent Cahn--Hilliard equations

The Stokes Operator on Exterior Domains in Homogeneous Weighted Function Spaces:From Weak Theory to H∞-calculus to Fractional Domains

Time periodic problem of the Navier-Stokes equations in an exterior domain with periodically moving boundary

On dynamic stability of energetically stable equilibria of the Navier-Stokes-Korteweg flows

The Stokes Operator on Exterior Domains in Homogeneous Weighted Function Spaces:From Weak Theory to $H^{\infty}$ -calculus to Fractional Domains