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SUMMARY:Simon Böhly\, From quantum mechanics to classical fluid dynamics:
  the Schrödinger-Navier-Stokes equation
DTSTART:20260722T090000Z
DTEND:20260722T100000Z
DTSTAMP:20260719T220800Z
UID:indico-event-1892@indico.dfa.unipd.it
DESCRIPTION:Speakers: Simon Böhly (Erasmus scholar from Heidelberg)\n\nTh
 e Madelung transformation was introduced in 1927 by Erwin Madelung and sho
 wed that the Schrödinger equation can be cast into a form reminiscent of 
 classical fluid dynamics.This analogy becomes even richer for quantum syst
 ems governed by a so-called nonlinear Schrödinger equations\, such as Bos
 e–Einstein condensates described by the Gross-Pitaevskii equation\, wher
 e phenomena including superfluidity and quantized vortices emerge naturall
 y. Motivated by these connections\, recent work has revisited the relation
 ship between nonlinear quantum wave equations and the classical Navier–S
 tokes equation. In this talk\, we present the motivation and main results 
 of two recent papers [1\,2] showing that a suitably modified nonlinear Sch
 rödinger equation provides a wave representation of the irrotational visc
 ous Navier–Stokes equations\, and discuss its extension to capillary flu
 ids. Finally\, we outline ongoing work aimed at incorporating vorticity in
 to this framework through the introduction of a U(1) gauge field\, with th
 e goal of extending the formalism to rotational viscous flows.\n[1] L. Sal
 asnich\, S. Succi\, and A. Tiribocchi\, Quantum wave representation of dis
 sipative fluids\, Int. J. Mod. Phys. C 35\, 2450100 (2024).\n[2] L. Salasn
 ich\, S. Böhly\, S. Succi\, and A. Tiribocchi\, Schrödinger-Navier-Stoke
 s equation for capillary fluids\, Phys. Fluids 38\, 078110 (2026). \n \n
 \nhttps://indico.dfa.unipd.it/event/1892/
LOCATION:1/3-1 - Sala R (Dipartimento di Fisica e Astronomia - Edificio Ma
 rzolo)
URL:https://indico.dfa.unipd.it/event/1892/
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