On Complex-Lamellar Motion of a Prim Gas

✍ Scribed by C. Rogers; W.K. Schief; W.H. Hui

• Book ID: 102597718
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 95 KB
• Volume: 266
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7685

✦ Synopsis

An intrinsic formulation of Prim's canonical equations of gas dynamics is employed to establish a generalization of Crocco's theorem to complex-lamellar motion. This new result is then employed to establish the existence of a Heisenberg spin-type equation in such motion. The optimal coordinate systems in the generalized Lagrangian method which are known to exist only in complex-lamellar motion are then shown by intrinsic geometric methods to correspond to a marching direction along geodesics on generalized Bernoulli surfaces.