On the swirling flow between rotating coaxial disks, asymptotic behaviour, II
1981 ◽
Vol 90
(3-4)
◽
pp. 317-346
◽
Keyword(s):
SynopsisConsider solutions 〈H(x, ε), G(x, ε)〉 of the von Kármán equations for the swirling flow between two rotating coaxial disksandWe assume that |H(x, ε)| + |Hʹ(x, ε)| + |G(x, ε)|≦B. This work considers shapes and asymptotic behaviour as ε→0+. We consider the type of limit functions 〈H(x), G(x)〉 that are permissible. In particular, if 〈H(x, ε), G(x, ε)〉 also satisfy the boundary conditions H(0, ε)=H(1, ε)=0, Hʹ(0, ε)=Hʹ(1, ε)=0 then H(x) has no simple zeros. That is, there does not exist a point Z ε [0, 1] such that H(x)=0, Hʹ(z)≠0. Moreover, the case of “cells” which oscillate is studied in detail.
1981 ◽
Vol 90
(3-4)
◽
pp. 293-316
◽
Keyword(s):
1999 ◽
Vol 38
(3-4)
◽
pp. 85-112
◽
Keyword(s):
1984 ◽
Vol 15
(3)
◽
pp. 446-458
◽
2014 ◽
Vol 38
(4)
◽
pp. 598-608
◽
Keyword(s):
2016 ◽
Vol 67
(3)
◽
Keyword(s):
2016 ◽
Vol 50
(2)
◽
pp. 433-454
◽