Dissipative Waves in Fluids Having Both Positive and Negative Nonlinearity
Files
TR Number
TR-86-39
Date
1986
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Computer Science, Virginia Polytechnic Institute & State University
Abstract
The present study examines weakly dissipative, weakly nonlinear waves in which the fundamental derivative changes sign. The undisturbed state is taken to be at rest, uniform and in the vicinity of the 0 locus. The cubic Burgers equation governing these waves is solved numerically; the resultant solutions are compared and contrasted to those of the invisced theory. Further results include the presentation of a natural scaling law and inviscid solutions not reported elsewhere.