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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, March 5, 2019 (Tuesday)
Room 537, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 537室)
Ginzburg-Landau Patterns in Circular and Spherical Geometries: Vortices, Attractors and Spirals
Jia-Yuan Dai (NCTS)

Abstract:

We prove that each equilibrium of the Ginzburg-Landau equation restricted to the invariant subspace of m-armed vortex solutions is hyperbolic, that is, its associated linearized operator possesses nonzero eigenvalues. This result completely describes the global attractor of m-armed vortex solutions, together with their associated unstable dimension, and also yields Ginzburg-Landau spiral waves.



 

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