On nonlinear stability theory
نویسندگان
چکیده
منابع مشابه
Global theory of nonlinear systems-chaos, knots and stability
Ever since the fundamental ideas of Poincaré in the qualitative theory of dynamical systems, there has been intense interest into the global behaviour of such systems. Many important ideas and examples have grown out of the basic theory including chaos, knotted trajectories, fractal dimension and equivalence theory. Here we shall give an overview of some of the most important results which are ...
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The main result is that at any rate of spin Ω and relative enstrophy Qrel, the unique global energy maximizer for fixed relative enstrophy corresponds to solid-body rotation, w0 Max(Qrel) = √ Qrelψ10 in the direction of Ω. Another solution, the counter-rotating steadystate w0 min(Qrel) = − √ Qrelψ10, is a constrained energy minimum provided the relative enstrophy is small enough, i.e., Qrel < Ω...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1970
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/255131