Analysis of fluid equations by group methods

✍ Scribed by W. F. Ames; M. C. Nucci

• Book ID: 104620180
• Publisher: Springer
• Year: 1986
• Tongue: English
• Weight: 231 KB
• Volume: 20
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042776

✦ Synopsis

Summaff

Using the machinery of Lie-group analysis several equations arising in fluid mechanics are studied. In particular, the Burgers' equation, the KdV equation, the Hopf equation, the two-dimensional KdV equation and the Lin-Tsien equation are analyzed. In all cases the particular group includes arbitrary functions of time which permit the transformation of time-dependent equations into the corresponding time-independent ones. Infinitely many time-dependent solutions are associated with each steady solution. Some solutions are constructed.