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Initial value problem to a shallow water model with a floating solid body


開催時期 2019-11-15 15:30~2019-11-15 17:00

場所 福岡大学・セミナーハウス・2階セミナー室D

受講対象  

講師 井口 達雄 (慶応義塾大学)

【講演概要】
In this talk we are concerned with the well-posedness of the initial value problem to a shallow water model for two-dimensional water waves with a floating solid body. We consider three cases: the body is fixed, the motion of the body is prescribed, and the body moves freely according to Newton's laws. The difficulty of the analysis comes from the fact that we have to treat the contact points, where the water, the air, and the solid body meet. This model yields a new type of free boundary problems for a quasilinear hyperbolic system. We will report that the initial value problem to this model is in fact well-posed. This result is based on the joint research with David Lannes at University of Bordeaux.


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