Mimar Sinan Fine Arts University General Seminars

A promenade in the world of CHAOS and SOLITONS followed by an essay in Quantum Mechanics
Attila Aşkar
Koç Üniversitesi, Turkey
Özet : “IT IS BY LOGIC THAT WE PROVE, BUT BY INTUITION THAT WE DISCOVER” Henri Poincaré (1854-1912). One such inspiration earned Poincaré a prize from the King of Sweden in 1887. His solution was wrong. But tis was the origin of the field of CHAOS, “things disordered”. An observation, proved to be wrong also, is at the beginning of SOLITONS, “things most organized”. John Scott Russel, in 1844 wrote: “ … a large solitary elevation … without change of form or diminution of speed…”. KdV came in 1895, the first PDE with Solitons. Quantum mechanics is most commonly described by the Schrödinger equation, a linear PDE that cannot include dissipation nor chaos and solitons. The Bohm or Quantum Fluid Dynamics (QFD) representation, a set of nonlinear PDE’s, is equivalent to Schrödinger’s. The lecture will be a NON-TECHNICAL introduction to Chaos and Solitons, probably the two most significant progress in differential equations in the 20th century. An essay with a dissipative term, in the manner of Navier – Stokes equation for classical fluids is introduced to the QFD representation. The equation has ingredients that lead to dissipation and vorticity; and perhaps would eventually include chaos and solitons as outcome.
  Tarih : 03.01.2019
  Saat : 16:00
  Yer : MSGSÜ Matematik Bölümü Seminer Salonu
  Dil : English