Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626881 | Applied Mathematics and Computation | 2015 | 7 Pages |
Abstract
We study the propagation speed property for a two-component Degasperis–Procesi system proposed by M. Popowicz. First, we rederive the system from the Euler equation with constant vorticity in shallow water regime. Then, we investigate the propagation behavior of compactly supported solutions, namely whether solutions which are initially compactly supported will retain this property through their lifespan. Finally, we give an exponential decay structure result on the first component function to the system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fei Guo, Li Yan, Run Wang,