Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900671 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
In this article we study the Borel probability measures that can be associated to the time averaged observation of the process generated by the non-autonomous long-wave-short-wave resonance equations on infinite lattices, via the notion of generalized Banach limit. We establish that the generated process possesses a pullback-D attractor, and further prove that there exists a unique family of invariant Borel probability measures carried by the pullback attractor.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chengzhi Wang, Gang Xue, Caidi Zhao,