On the linear problem arising from motion of a fluid around a moving rigid body

Šárka Matušů-Nečasová; Jörg Wolf

Mathematica Bohemica (2015)

  • Volume: 140, Issue: 2, page 241-259
  • ISSN: 0862-7959

Abstract

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We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence of a global pressure gradient in L 2 .

How to cite

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Matušů-Nečasová, Šárka, and Wolf, Jörg. "On the linear problem arising from motion of a fluid around a moving rigid body." Mathematica Bohemica 140.2 (2015): 241-259. <http://eudml.org/doc/271583>.

@article{Matušů2015,
abstract = {We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence of a global pressure gradient in $L^2$.},
author = {Matušů-Nečasová, Šárka, Wolf, Jörg},
journal = {Mathematica Bohemica},
keywords = {incompressible fluid; rotating rigid body; strong solution},
language = {eng},
number = {2},
pages = {241-259},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the linear problem arising from motion of a fluid around a moving rigid body},
url = {http://eudml.org/doc/271583},
volume = {140},
year = {2015},
}

TY - JOUR
AU - Matušů-Nečasová, Šárka
AU - Wolf, Jörg
TI - On the linear problem arising from motion of a fluid around a moving rigid body
JO - Mathematica Bohemica
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 140
IS - 2
SP - 241
EP - 259
AB - We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence of a global pressure gradient in $L^2$.
LA - eng
KW - incompressible fluid; rotating rigid body; strong solution
UR - http://eudml.org/doc/271583
ER -

References

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