On Geodesic Hydrodynamic Motions. Heisenberg Spin Connections

✍ Scribed by C. Rogers; W.K. Schief

• Book ID: 102591958
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 105 KB
• Volume: 251
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7074

✦ Synopsis

It is established that, in steady circulation-preserving hydrodynamic motions with velocity q = qt subject to either of the geometric constraints t • curl t = 0 or div t = 0, the geodesic unit tangent t-field is constrained by privileged Heisenberg spin-type equations. In the case div t = 0, remarkably, the integrable Heisenberg spin equation related to the solitonic nonlinear Schrödinger equation is obtained. Corresponding results hold "mutatis mutandis" in magneto-hydrostatics.