Note on the Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments: The Discrete Case
We continue our study on mathematical justification of the emergence of large-scale coherent structure in a two-dimensional fluid system under small scale random bombardments. We treat the case of small-scale random bombardments at discrete times which is different from our earlier work [Commun. Pure Appl. Math. 59, 467 (2006)], where we approximated the small-scale random kicks by a continuous in time random process. in the absence of geophysical effects, the large-scale structure emerging out of the small-scale random forcing is the same as the case of continuous in time forcing that we studied before. © 2007 American Institute of Physics.
A. Majda and X. Wang, "Note on the Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments: The Discrete Case," Journal of Mathematical Physics, vol. 48, no. 6, article no. 065501, American Institute of Physics, Jun 2007.
The definitive version is available at https://doi.org/10.1063/1.2424424
Mathematics and Statistics
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25 Jun 2007
National Science Foundation, Grant None