Seminar on Mathematics for various disciplines
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Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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2014/06/10
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Yoshifumi Kimura (Graduate School of Mathematics, Nagoya University)
The self-similar collapse solution of a point vortex system and complex time singularities (JAPANESE)
Yoshifumi Kimura (Graduate School of Mathematics, Nagoya University)
The self-similar collapse solution of a point vortex system and complex time singularities (JAPANESE)
[ Abstract ]
A system of N point vortices is a Hamiltonian dynamical system with N degrees of freedom,and it is known that under certain parameter and initial conditions, there are self-similar collapse solutions for which N vortices collide at a point while rotating without changing the initial shape of configuration. In this talk, I will introduce such collision solutions and discuss some properties of complex time singularities in relation with those solutions.
A system of N point vortices is a Hamiltonian dynamical system with N degrees of freedom,and it is known that under certain parameter and initial conditions, there are self-similar collapse solutions for which N vortices collide at a point while rotating without changing the initial shape of configuration. In this talk, I will introduce such collision solutions and discuss some properties of complex time singularities in relation with those solutions.