Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity

In this paper, we establish the well-posedness results of the three dimensional stationary Navier--Stokes equations (SNS) in some critical hybrid type Besov spaces with respect to the scaling invariant structure of (SNS). Although such critical functional spaces contain the functions with singularities, we give some sufficient conditions such that the $L^{\infty}$-norm of the solutions of (SNS) decay at the infinity within some polynomial type rate.

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ArXiv.org
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
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article

Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity

ArXiv.org
Geochemistry and Geologic Mapping
article

Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity

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Abstract

In this paper, we establish the well-posedness results of the three dimensional stationary Navier--Stokes equations (SNS) in some critical hybrid type Besov spaces with respect to the scaling invariant structure of (SNS). Although such critical functional spaces contain the functions with singularities, we give some sufficient conditions such that the $L^{\infty}$-norm of the solutions of (SNS) decay at the infinity within some polynomial type rate.

ArXiv.org
Openalex Percentile: Top 64%
Geochemistry and Geologic Mapping
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Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity · ArXiv.org (2025) | TGRS Research Map | TGRS