Inverse cascade via Burgers equation.
Burgers equation is employed as a pedagogical device for analytically demonstrating the emergence of a form of inverse cascade to the lowest wavenumber in a flow. The transition from highly nonlinear mode-mode coupling to an ordered preference for large scale structure is shown, both analytically (revealing the presence of a global attractor) and via a numerical example. (c) 2000 American Institute of Physics.
Newman
William I.
WI
Departments of Earth and Space Sciences, Physics and Astronomy, and Mathematics, University of California, Los Angeles, California 90095-1567.