Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe
Applicationes Mathematicae (2007)
- Volume: 34, Issue: 3, page 289-307
- ISSN: 1233-7234
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topPiotr Kacprzyk. "Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe." Applicationes Mathematicae 34.3 (2007): 289-307. <http://eudml.org/doc/279879>.
@article{PiotrKacprzyk2007,
abstract = {Global existence of regular solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe with large inflow and outflow is shown. Global existence is proved in two steps. First, by the Leray-Schauder fixed point theorem we prove local existence with large existence time. Next, the local solution is prolonged step by step. The existence is proved without any restrictions on the magnitudes of the inflow, outflow, external force and initial velocity.},
author = {Piotr Kacprzyk},
journal = {Applicationes Mathematicae},
keywords = {Navier-Stokes equations; incompressible viscous fluid; cylindrical pipe; global existence; regular solutions},
language = {eng},
number = {3},
pages = {289-307},
title = {Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe},
url = {http://eudml.org/doc/279879},
volume = {34},
year = {2007},
}
TY - JOUR
AU - Piotr Kacprzyk
TI - Global regular nonstationary flow for the Navier-Stokes equations in a cylindrical pipe
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 3
SP - 289
EP - 307
AB - Global existence of regular solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe with large inflow and outflow is shown. Global existence is proved in two steps. First, by the Leray-Schauder fixed point theorem we prove local existence with large existence time. Next, the local solution is prolonged step by step. The existence is proved without any restrictions on the magnitudes of the inflow, outflow, external force and initial velocity.
LA - eng
KW - Navier-Stokes equations; incompressible viscous fluid; cylindrical pipe; global existence; regular solutions
UR - http://eudml.org/doc/279879
ER -
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