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

Volume 70 / 2005

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

Abstract

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.

Authors

  • 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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