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[00328] Schrödinger map and Multifractality

  • Session Time & Room : 1E (Aug.21, 17:40-19:20) @E702
  • Type : Contributed Talk
  • Abstract : In this talk, we will explore the richness of the Schrödinger map equation by discussing some recent results on its evolution in both hyperbolic and Euclidean geometrical settings. In the latter case, the equivalent form of the equation describes the motion of a vortex filament, e.g., smoke rings, tornadoes, etc. With numerical, theoretical techniques, we will show that when the filament curve initially has corners, its evolution and the trajectory of its corners exhibit multifractality.
  • Classification : 65M06, 28A80, 11L05, 65M20, 35Q55, Mathematical physics, Numerical methods, Schrödinger-type equtaions, Hyperbolic space
  • Format : Talk at Waseda University
  • Author(s) :
    • Sandeep Kumar (CUNEF University)
    • Luis Vega (Basque Center for Applied Mathematics)
    • Francisco de la Hoz (The University of the Basque Country)