Majda, Andrew; Wang, Xiaoming The selective decay principle for barotropic geophysical flows. (English) Zbl 1021.76054 Methods Appl. Anal. 8, No. 4, 579-594 (2001). 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. Cited in 2 Documents MSC: 76U05 General theory of rotating fluids 76B65 Rossby waves (MSC2010) 86A05 Hydrology, hydrography, oceanography 35Q35 PDEs in connection with fluid mechanics Keywords:selective decay principle; barotropic geophysical flows; long-time behavior of solutions; renormalization; shear flow; Rossby wave; hyper-viscosity; beta plane PDFBibTeX XMLCite \textit{A. Majda} and \textit{X. Wang}, Methods Appl. Anal. 8, No. 4, 579--594 (2001; Zbl 1021.76054) Full Text: DOI