Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation

By Shuyin Wu, Zhaoyang Yin. 2009

108 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/16ec59fd6b9b85631641257390769687165a275a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Yongsheng Li
2. Yonghong Wu
3. Yimin Zhang
4. Shaoyong Lai
5. Wei Yan

In Statistical and Nonlinear Physics

1. Yongsheng Li
2. Yonghong Wu
3. Yimin Zhang
4. Shaoyong Lai
5. Wei Yan
6. R. Thompson
7. John Holmes

Citations in the corpus

• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation (2010, background): “[46] Z.Y. Yin, On the blow-up scenario for the generalized Camassa–Holm equation, Comm. Partial Differential Equations 29 (2004) 867–877.”
• Global existence and blow-up phenomena for the weakly dissipative Novikov equation (2012, background): “Recently, Wu and Yin [14–16] have considered the global existence and blow-up phenomena of the strong solution to the Cauchy problem for the weakly dissipative Camassa–Holm equation ut − utxx + 3uux − 2uxuxx − uuxxx + λ(u − uxx) = 0, t > 0, x ∈ R.”