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Global stability of the Burgers’ vortex

The Physics of Fluids, 1981
Global monotonic stability of the Burgers’ vortex is studied using the energy method, and it is shown that no finite critical viscosity exists for the problem. For bounded domains, a criterion is established which ensures that the energy of any perturbation of bounded support initially decreases.
Philip Holmes, Sidney Leibovich
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Technology and Global Stability

IEEE Transactions on Systems, Man, and Cybernetics, 1982
A review of the links between technology and conflict is attempted as a means to provide insight useful to us in future linkages. Growth of technology and the use of technology to further humankind's goals is immutable. The past certainly appears to be a prologue to the future, and we are left with a series of questions as to a future with global ...
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On the global stability of the lorentz system

Journal of Applied Mathematics and Mechanics, 1983
The author extends a method of iterated averages for investigating stability questions for ordinary differential equations. The main goal is to show that the existence and stability of quasi-periodic solutions is determined by the existence and conditional stability of a rest point of the associated iterated average system.
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Morishima Systems and Global Stability

International Economic Review, 1990
In this paper, it is shown that a Morishima-type sign pattern on the Jacobian of excess demand, holding for all prices, assures system stability with respect to the normalized tatonnement process, starting from almost any price. Copyright 1990 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and ...
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Global Stability and Uniqueness

1976
Suppose that a viscous fluid is set into motion by external forces or by the motion of the boundary S(t) of a closed container V(t). The velocity field U(x,t) is assumed to be governed by the initial boundary value problem (IBVP) for the Navier-Stokes equations.
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On the Global Stability of Cooperative Systems

Bulletin of the London Mathematical Society, 1994
This paper considers a cooperative system of ordinary differential equations on a suitable domain in \(\mathbb{R}^ n\). We prove that the unique equilibrium is globally asymptotically stable if and only if every forward orbit has compact closure in the domain. We also generalize this result to the monotone flows on strongly ordered topological spaces.
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Global stability of optimization problems

Mathematische Operationsforschung und Statistik. Series Optimization, 1977
This paper presents necessary and sufficient conditions for the stability of the problem . Here M is a subset of a metric space X, λ is an element of some set ⋀ “with convergence” and f is a functional defined on the Cartesian product X×⋀. These conditions apply to the upper and lower semiconformity of the function and the upper semiconformity of the ...
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Globalization and Trade Stability

2017
This chapter looks first at how trade stability and protectionism are explained by existing theories of collective action and interest-group politics and hegemonic-stability thesis. It then explores how the proliferation of global production has strengthened the foundations of liberal trade by giving producers a stake in trade openness given their dual
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Global aspects of bifurcation and stability

Archive for Rational Mechanics and Analysis, 1977
where the F~ are real nonlinear functions and /~ is a real parameter. Suppose xi = 0, i= 1,. . . , n, is a solution of (1.1) for all #. Then it is well known that a point ~t = 2 at which this solution exchanges (that is, loses or gains) stability is a potential origin for a nontrivial bifurcating solution.
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Asian Growth and Global Stability

2010
The structure and policy architecture of the world economy, as it emerges from the historic challenges now underway, will be affected by the dramatic rise of Asian economies and deepening connections among them. This important book examines the rapid transformation of the Asian economy, the challenges it faces, emerging regional solutions, and how Asia
Masahiro Kawai   +2 more
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