On stability of axially symmetric solutions to Navier-Stokes
equations in a cylindrical domain and with boundary slip conditions

M. Wiegner; W. M. Zajączkowski

doi:10.4064/bc70-0-16

Wydawnictwa / Banach Center Publications / Wszystkie tomy

On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions

Tom 70 / 2005

M. Wiegner, W. M. Zajączkowski Banach Center Publications 70 (2005), 251-278 MSC: 35Q35, 76D03, 76D05. DOI: 10.4064/bc70-0-16

Streszczenie

The existence of global regular axially symmetric solutions to Navier-Stokes equations in a bounded cylinder and for boundary slip conditions is proved. Next, stability of these solutions is shown.

Autorzy

M. WiegnerDepartment of Mathematics
RWTH Aachen, Wuellnerst. 5-7
D-52056 Aachen, Germany
W. M. ZajączkowskiInstitute of Mathematics
Polish Academy of Sciences
Śniadeckich 8, 00-956 Warszawa, Poland
and
Institute of Mathematics and Cryptology
Military University of Technology
Kaliskiego 2, 00-908 Warszawa, Poland
e-mail

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