Nonlocal Aggregation Dynamics with Near-Neighbor Weighting, and the Associated Geometry of Measures
In this thesis we introduce a new weighted-averaging variant of the familiar "nonlocal biological aggregation equation" in Euclidean space, with weights dependent on the nearness of neighbors, which are added for more realism and flexible modeling. We discover how the gradient flow structu...
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| Format: | Others |
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Research Showcase @ CMU
2018
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| Online Access: | http://repository.cmu.edu/dissertations/1118 http://repository.cmu.edu/cgi/viewcontent.cgi?article=2157&context=dissertations |