scholarly journals Slightly deformable Darcy drop in linear flows

2019 ◽  
Vol 4 (6) ◽  
Author(s):  
Y.-N. Young ◽  
Yoichiro Mori ◽  
Michael J. Miksis
Keyword(s):  
Linear Flows

On the convex kernel of a compact set

1967 ◽  
Vol 63 (2) ◽  
pp. 311-313 ◽  
Author(s):  
D. G. Larman
Keyword(s):  
Linear Space ◽  
Compact Subset ◽  
Line Segment ◽  
Linear Dimension ◽  
Single Point ◽  
Compact Set ◽  
Topological Linear Space ◽  
Topological Linear

Suppose that E is a compact subset of a topological linear space ℒ. Then the convex kernel K, of E, is such that a point k belongs to K if every point of E can be seen, via E, from k. Valentine (l) has asked for conditions on E which ensure that the convex kernel K, of E, consists of exactly one point, and in this note we give such a condition. If A, B, C are three subsets of E, we use (A, B, C) to denote the set of those points of E, which can be seen, via E, from a triad of points a, b, c, with a ∈ A, b ∈ B, c ∈ C. We shall say that E has the property if, whenever A is a line segment and B, C are points of E which are not collinear with any point of A, the set (A, B, C) has linear dimension of at most one, and degenerates to a single point whenever A is a point.

scholarly journals Chain recurrence, growth rates and ergodic limits

2007 ◽  
Vol 27 (5) ◽  
pp. 1509-1524 ◽  
Author(s):  
FRITZ COLONIUS ◽  
ROBERTA FABBRI ◽  
RUSSELL JOHNSON
Keyword(s):  
Lyapunov Exponents ◽  
Growth Rates ◽  
General Linear ◽  
Chain Recurrence ◽  
Hamiltonian Flows ◽  
Rotation Numbers ◽  
Linear Flows

AbstractAverages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for the possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian flows and of general linear flows are given.

The Davey-Stewartson equation and constrained linear flows

1995 ◽  
Vol 87 (1-4) ◽  
pp. 99-104 ◽  
Author(s):  
Francisco Guil ◽  
Manuel Mañas
Keyword(s):  
Linear Flows

scholarly journals Linear flows on compact, semisimple Lie groups: stability and periodic orbits

2021 ◽  
pp. 1-12
Author(s):  
Simão Stelmastchuk
Keyword(s):  
Lie Groups ◽  
Periodic Orbits ◽  
Semisimple Lie Groups ◽  
Linear Flows ◽  
The Stability

Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows. As an application, we present periodic orbits of linear or invariant flows on SO(3) and SU(2) and we study periodic orbits of linear or invariant flows on SO(4).

The stability of two-dimensional linear flows of an Oldroyd-type fluid

1985 ◽  
Vol 18 (1) ◽  
pp. 25-59 ◽  
Author(s):  
R.R. Lagnado ◽  
N. Phan-Thien ◽  
L.G. Leal
Keyword(s):  
Two Dimensional ◽  
Linear Flows ◽  
The Stability

The stability of two-dimensional linear flows

1984 ◽  
Vol 27 (5) ◽  
pp. 1094 ◽  
Author(s):  
R. R. Lagnado ◽  
N. Phan-Thien ◽  
L. G. Leal
Keyword(s):  
Two Dimensional ◽  
Linear Flows ◽  
The Stability

scholarly journals The differentiability of convex functions on topological linear spaces

1990 ◽  
Vol 42 (2) ◽  
pp. 201-213 ◽  
Author(s):  
Bernice Sharp
Keyword(s):  
Convex Functions ◽  
Inductive Limit ◽  
Asplund Space ◽  
Fréchet Spaces ◽  
Linear Spaces ◽  
Asplund Spaces ◽  
Continuous Convex Function ◽  
Mazur’S Theorem ◽  
Topological Linear ◽  
Differentiability Properties

In this paper topological linear spaces are categorised according to the differentiability properties of their continuous convex functions. Mazur's Theorem for Banach spaces is generalised: all separable Baire topological linear spaces are weak Asplund. A class of spaces is given for which Gateaux and Fréchet differentiability of a continuous convex function coincide, which with Mazur's theorem, implies that all Montel Fréchet spaces are Asplund spaces. The effect of weakening the topology of a given space is studied in terms of the space's classification. Any topological linear space with its weak topology is an Asplund space; at the opposite end of the topological spectrum, an example is given of the inductive limit of Asplund spaces which is not even a Gateaux differentiability space.

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