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Some global regular solutions to Navier–Stokes equations
Author(s) -
Zaja̧czkowski W. M.
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.775
Subject(s) - mathematics , bounded function , navier–stokes equations , axial symmetry , mathematical analysis , boundary value problem , cylinder , slip (aerodynamics) , stability (learning theory) , compressibility , geometry , mechanics , physics , machine learning , computer science , thermodynamics
First the existence of global regular two‐dimensional solutions to Navier–Stokes equations in a bounded cylinder and for boundary slip conditions is proved. Next stability of sum of two dimensional and axially symmetric solutions is proved. Copyright © 2006 John Wiley & Sons, Ltd.