Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899389 | Journal of Mathematical Analysis and Applications | 2018 | 31 Pages |
Abstract
This paper studies the Cauchy problem for an integrable three-component Camassa-Holm system. We first establish the local well-posedness with initial condition in Besov spaces. Then we prove a blow-up criteria by arguing inductively with respect to the regularity index. Moreover, we derive a Riccati-type differential inequality by using the structure of equations, and also prove a new blow-up criteria with sufficient conditions on initial condition, whose proof is based on the conservative property of potential densities along the characteristic.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lei Zhang, Bin Liu,