ON POWER-LOGARITHMIC SOLUTIONS TO THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM IN A DIHEDRAL ANGLE

Authors
KOZLOV VA MAZYA VG
Citation
Va. Kozlov et Vg. Mazya, ON POWER-LOGARITHMIC SOLUTIONS TO THE DIRICHLET PROBLEM FOR THE STOKES SYSTEM IN A DIHEDRAL ANGLE, Mathematical methods in the applied sciences, 20(4), 1997, pp. 315-346
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
20
Issue
4
Year of publication
1997
Pages
315 - 346
Database
ISI
SICI code
0170-4214(1997)20:4<315:OPSTTD>2.0.ZU;2-6
Abstract
The Dirichlet problem for the Stokes system in a dihedral angle is con sidered. An explicit description of special solutions to the homogeneo us problem which have the form U(x) - \x\(lambda) (O less than or equa l to k less than or equal to kappa)Sigma (log \x\)(kappa - k)/(kappa - k)! u((k))(x/\x\), P(x) = \x\(lambda - 1) (O less than or equal to k less than or equal to kappa)Sigma (log \x\(kappa - k)/(kappa - k)! p(( k))(x/\x\) is given. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.