Asymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditions

2016 ◽  
Vol 67 (3) ◽  
Author(s):  
Jum-Ran Kang
Keyword(s):  
Asymptotic Behavior ◽  
Boundary Conditions ◽  
Acoustic Boundary Conditions ◽  
Von Karman ◽  
Von Kármán Equations ◽  
Memory Type ◽  
Von Kármán

Solubility of the von Karman equations with nonhomogeneous boundary conditions in nonsmooth domains

1990 ◽  
Vol 50 (2) ◽  
pp. 1491-1497
Author(s):  
O. John ◽  
V. A. Kondratiev ◽  
D. M. Lekveishvili ◽  
J. Necas ◽  
O. A. Oleinik
Keyword(s):  
Boundary Conditions ◽  
Nonhomogeneous Boundary ◽  
Von Karman ◽  
Nonsmooth Domains ◽  
Von Kármán Equations ◽  
Nonhomogeneous Boundary Conditions ◽  
Von Kármán

On the swirling flow between rotating coaxial disks, asymptotic behaviour, II

1981 ◽  
Vol 90 (3-4) ◽  
pp. 317-346 ◽  
Author(s):  
Heinz Otto Kreiss ◽  
Seymour V. Parter
Keyword(s):  
Boundary Conditions ◽  
Asymptotic Behaviour ◽  
Swirling Flow ◽  
Simple Zeros ◽  
Von Karman ◽  
Von Kármán Equations ◽  
Image Position ◽  
Von Kármán

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.

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