具有快速衰减数据的旋转坐标系中Navier-Stokes系统解的空间渐近轮廓

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI:10.14492/hokmj/1537948828

R. Farwig, R. Schulz, Y. Taniuchi

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引用次数: 2

摘要

考虑在整个空间R3中受科里奥利力影响的粘性不可压缩流体的非平稳Navier-Stokes系统。建立了这些方程的相应积分方程在加权L∞-空间中的可解性。此外，还研究了在固定时间t>0，|x|>t和远离旋转轴的解的渐近轮廓的前导项。

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Spatial Asymptotic Profiles of Solutions to the Navier-Stokes System in a Rotating Frame with Fast Decaying Data

The nonstationary Navier-Stokes system for a viscous, incompressible fluid influenced by a Coriolis force in the whole space R3 is considered at large distances. The solvability of the corresponding integral equations of these equations in weighted L∞-spaces is established. Furthermore, the leading terms of the asymptotic profile of the solution at fixed time t > 0 for |x| > t and far from the axis of rotation are investigated.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.