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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Incompressible Flows 2006> Hisashi Okamoto

Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

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Well-Posedness of the Generalized Proudman-Johnson Equation


Hisashi Okamoto

                             Research Institute for Mathematical Sciences, Kyoto University

Abstract:  The purpose of my talk is to mathematically analyze the following equation:  where  is a constant called the viscosity, is an artificial parameter,  is the time variable, and  is a real variable running in an interval of the real line.