Inverse cascade via Burgers equation
Copyright policy )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.
- University of California, Los Angeles United States
nonlinear mode-mode coupling, KdV equations (Korteweg-de Vries equations), inverse cascade, large scale structure, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Dynamical systems approach to turbulence, Burgers equation
nonlinear mode-mode coupling, KdV equations (Korteweg-de Vries equations), inverse cascade, large scale structure, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Dynamical systems approach to turbulence, Burgers equation
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