# Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle

Banach Center Publications (2005)

- Volume: 70, Issue: 1, page 73-84
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topReinhard Farwig. "Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle." Banach Center Publications 70.1 (2005): 73-84. <http://eudml.org/doc/282367>.

@article{ReinhardFarwig2005,

abstract = {Consider the problem of time-periodic strong solutions of the Stokes system modelling viscous incompressible fluid flow past a rotating obstacle in the whole space ℝ³. Introducing a rotating coordinate system attached to the body yields a system of partial differential equations of second order involving an angular derivative not subordinate to the Laplacian. In a recent paper [2] the author proved $L^q$-estimates of second order derivatives uniformly in the angular and translational velocities, ω and k, of the obstacle, whereas the transport terms fails to have $L^q$-estimates independent of ω. In this paper we clarify this unexpected behavior and prove weighted $L^q$-estimates of first order terms independent of ω.},

author = {Reinhard Farwig},

journal = {Banach Center Publications},

keywords = {-estimates; weighted -estimates},

language = {eng},

number = {1},

pages = {73-84},

title = {Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle},

url = {http://eudml.org/doc/282367},

volume = {70},

year = {2005},

}

TY - JOUR

AU - Reinhard Farwig

TI - Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle

JO - Banach Center Publications

PY - 2005

VL - 70

IS - 1

SP - 73

EP - 84

AB - Consider the problem of time-periodic strong solutions of the Stokes system modelling viscous incompressible fluid flow past a rotating obstacle in the whole space ℝ³. Introducing a rotating coordinate system attached to the body yields a system of partial differential equations of second order involving an angular derivative not subordinate to the Laplacian. In a recent paper [2] the author proved $L^q$-estimates of second order derivatives uniformly in the angular and translational velocities, ω and k, of the obstacle, whereas the transport terms fails to have $L^q$-estimates independent of ω. In this paper we clarify this unexpected behavior and prove weighted $L^q$-estimates of first order terms independent of ω.

LA - eng

KW - -estimates; weighted -estimates

UR - http://eudml.org/doc/282367

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.