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The selective decay principle for barotropic geophysical flows. (English) Zbl 1021.76054

Summary: We prove rigorously here the selective decay principle for barotropic geophysical flows. In particular, we prove that the long-time behavior of solutions after renormalization is the superposition of a shear flow and a Rossby wave, and the role of hyper-viscosity is to enhance the selective decay process and the role of beta plane is to generate Rossby waves.

MSC:

76U05 General theory of rotating fluids
76B65 Rossby waves (MSC2010)
86A05 Hydrology, hydrography, oceanography
35Q35 PDEs in connection with fluid mechanics
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