Titlebook: Geometry, Mechanics, and Dynamics; Volume in Honor of t Paul Newton,Philip Holmes,Alan Weinstein Book 2002 Springer Science+Business Media

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Nebulous

Finite Elastoplasticity Lie Groups and Geodesics on SL(,)sidered as element of the Lie group SL(.). Moreover, the plastic dissipation defines a left-invariant Finsler metric on the tangent bundle of this Lie group. In the case of single crystal plasticity this metric is given interms of the different slip systems and is piecewise affine on each tangent sp

绝种

期满

Euler-Poincaré Dynamics of Perfect Complex Fluids We mainly treat perfect complex fluids (PCFs) whose order parameters are .. These order parameters may be regarded geometrically either as objects in a vector space, or as coset spaces of Lie symmetry groups with respect to subgroups that leave these objects invariant. Examples include liquid cryst

dithiolethione

The Lagrangian Averaged Euler (LAE-α) Equations with Free-Slip or Mixed Boundary Conditionsundary conditions, and in the process describe certain features of the Riemannian geometry of new subgroups of the volume-preserving diffeomorphism group, corresponding to free-slip or mixed-type boundary data, thus answering in the affirmative a conjecture of Holm, Marsden, and Ratiu [1998a].

讥笑

Nearly Inviscid Faraday Waves of including small viscosity in a study of surface gravitycapillary waves excited by the vertical vibration of a container. It is shown that in this system, as in others, the addition of small viscosity provides a singular perturbation of the ideal fluid problem, and that as a result itse ectsareno

讥笑

Explicate

Patterns of Oscillation in Coupled Cell Systemsions about the internal dynamics of a cell (a pendulum or a neuron or a single laser) and assumptions about how the cells are coupled to each other..In a primitive sense, coupled cell systems are just moderate sized systems of ODE; for example, an eight-cell system with four-dimensional internal dyn

Dissonance

Simple Choreographic Motions of , Bodies: A Preliminary Studyl masses to be equal and the phase shift between consecutive bodies to be constant. The first 3-body choreography for the Newtonian potential, after Lagrange’s equilateral solution, was proved to exist by Chenciner and Montgomery in December 1999 (Chenciner and Montgomery [2000]). In this paper we p

laxative