The Ekman flow and related problems: spectral theory and numerical analysis
نویسندگان
چکیده
We consider singular block operator problems of the type arising in the study of stability of the Ekman boundary layer. The essential spectrum is located, and an analysis of the L2 solutions of a related first order system of differential equations allows the development of a Titchmarsh–Weyl coefficientM (λ). This, in turn, permits a rigorous analysis of the convergence of approximations to the spectrum arising from regular problems. Numerical results illustrate the theory.
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