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Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
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Renormalization group method in fluid dynamics Ya. G. Sinaiabc a Princeton University b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow c L.D. Landau Institute for Theoretical Physics RAS |
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Abstract: Usually, the renormalization group (RG) method is used for the analysis of fixed points of non-linear maps. In this talk, RG will be used for the study of complex-valued solutions of Navier-Stokes systems. In the three-dimensional case, there appear new types of solutions with specific singularities. The theory of such solutions was proposed in the paper by Dong Li and the speaker. Interesting numerical results related to the whole theory were obtained by C. Boldrighini, S. Frigio, and P. Maponi (Italy). |
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