Seminar Analysis and Mathematical Physics: Franck Sueur (Institut de Mathématiques de Bordeaux)

2D incompressible Euler system in presence of sources and sinks

This talk is devoted to the 2D incompressible Euler system in presence of sources and sinks. This model dates back to Viktor Yudovich in the sixties and is an interesting example of nonlinear open system which has been widely used in controllability theory within the scope of smooth solutions. In this talk we will review how the classical issues of existence and uniqueness of weak solutions are challenged by the presence of incoming and exiting vorticity.  This talk is based on joint works with Marco Bravin and Florent Noisette. 

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