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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, December 1, 2020 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Formation of Singularities in Cold ion Dynamics
Junsik Bae (NCTS)

Abstract:

We consider the pressureless Euler-Poisson system which describes the dynamics of cold ions in an electrostatic plasma. We present a new condition on the initial data, under which the velocity gradient blows up in a finite time. In particular, formation of singularities may occur even if the initial velocity is identically zero. This is joint with J.Choi and B.Kwon (UNIST).


 

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