Burgers Equation
Mostrando 13-16 de 16 artigos, teses e dissertações.
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13. Viscosity-dependent inertial spectra of the Burgers and Korteweg–deVries–Burgers equations
We show that the inertial range spectrum of the Burgers equation has a viscosity-dependent correction at any wave number when the viscosity is small but not zero. We also calculate the spectrum of the Korteweg–deVries–Burgers equation and show that it can be partially mapped onto the inertial spectrum of a Burgers equation with a suitable effective diffu
National Academy of Sciences.
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14. Remarkable statistical behavior for truncated Burgers–Hopf dynamics
A simplified one-dimensional model system is introduced and studied here that exhibits intrinsic chaos with many degrees of freedom as well as increased predictability and slower decay of correlations for the large-scale features of the system. These are important features in common with vastly more complex problems involving climate modeling or molecul
The National Academy of Sciences.
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15. Averaging and renormalization for the Korteveg–deVries–Burgers equation
We consider traveling wave solutions of the Korteveg–deVries–Burgers equation and set up an analogy between the spatial averaging of these traveling waves and real-space renormalization for Hamiltonian systems. The result is an effective equation that reproduces means of the unaveraged, highly oscillatory, solution. The averaging enhances the appare
National Academy of Sciences.
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16. Quantifying predictability in a model with statistical features of the atmosphere
The Galerkin truncated inviscid Burgers equation has recently been shown by the authors to be a simple model with many degrees of freedom, with many statistical properties similar to those occurring in dynamical systems relevant to the atmosphere. These properties include long time-correlated, large-scale modes of low frequency variability and short time-cor
National Academy of Sciences.