Seminar talk, 1 March 2017

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Speaker: Alexey Samokhin

Title: Reflections of soliton on viscous barrier and the degradation of conserved quantities for the KdV

Abstract:
If waves are described by the equation

,

where is the characteristic function of the interval , then the soliton arrived from the right partially reflects at viscous barrier and partially passes through in the form of a soliton of smaller velocity and amplitude. The process in some degree is described by the so-called balance laws, which are the evolution of conservation laws for KdV.