On some large time behaviors of the full water wave problem.
Publication details: Rio de Janeiro: IMPA, 2014.Description: video onlineSubject(s): Online resources:The Fourth Workshop on Fluids and PDE was held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, from Monday 26 May to Friday 30 May 2014. This workshop is held every two to three years in Brazil. The fourth edition of the workshop was the closing event of a Thematic Program on Incompressible Fluids Dynamics, to be held at IMPA next Spring. Hence, the focus of the workshop will be incompressible fluid mechanics .
We consider the full water wave problem in two and three dimensions. We will survey results on the well-posedness of this problem, and present a recent work on some type of singular behaviors in the solutions for this problem.
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