Local homology of groups of volume-preserving diffeomorphisms, II

1983 ◽  
Vol 58 (1) ◽  
pp. 135-165 ◽  
Author(s):  
Dusa McDuff
Keyword(s):  
Local Homology ◽  
Volume Preserving

Volume preserving immersed boundary methods for two-phase fluid flows

2011 ◽  
Vol 69 (4) ◽  
pp. 842-858 ◽  
Author(s):  
Yibao Li ◽  
Eunok Jung ◽  
Wanho Lee ◽  
Hyun Geun Lee ◽  
Junseok Kim
Keyword(s):  
Fluid Flows ◽  
Immersed Boundary ◽  
Immersed Boundary Methods ◽  
Two Phase ◽  
Boundary Methods ◽  
Phase Fluid ◽  
Volume Preserving

Volume-preserving integrators have linear error growth

1998 ◽  
Vol 242 (1-2) ◽  
pp. 25-30 ◽  
Author(s):  
G.R.W Quispel ◽  
C.P Dyt
Keyword(s):  
Error Growth ◽  
Volume Preserving

Representation of volume-preserving maps induced by solenoidal vector fields

1985 ◽  
Vol 28 (3) ◽  
pp. 1005 ◽  
Author(s):  
A. Thyagaraja ◽  
F. A. Haas
Keyword(s):  
Vector Fields ◽  
Solenoidal Vector ◽  
Volume Preserving

General position properties of ANR's

1982 ◽  
Vol 92 (3) ◽  
pp. 451-466 ◽  
Author(s):  
W. J. R. Mitchell
Keyword(s):  
Real Line ◽  
General Position ◽  
Cartesian Product ◽  
Vital Role ◽  
The Real ◽  
Homology Groups ◽  
Local Homology

This paper investigates the ‘general position’ properties which ANR's may possess. The most important of these is the disjoint discs property of Cannon (5), which plays a vital role in recent striking characterizations of manifolds (5, 9, 12, 18, 19, 22). Also considered are the property Δ of Borsuk(2) (which ensures an abundance of dimension-preserving maps), and the vanishing of local homology groups up to a given dimension (cf. (9)). Our main results give relations between these properties, and clarify their behaviour under the stabilization operation of taking cartesian product with the real line. In the last section these results are applied to give partial solutions to questions about homogeneous ANR's.

scholarly journals More Mixed Volume Preserving Curvature Flows

2017 ◽  
Vol 27 (4) ◽  
pp. 3140-3165 ◽  
Author(s):  
James A. McCoy
Keyword(s):  
Mixed Volume ◽  
Volume Preserving
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