Reinhard Farwig

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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.AP2024

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…

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

The time periodic problem for the Navier-Stokes equations in exterior domains in weighted spaces

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