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Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation
A periodic 2-component Camassa-Holm equation global existence blow-up blow-up rate
2011/10/17
We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several b...
Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system
A periodic two-component Hunter-Saxton system blow-up scenario blow-up
2011/2/28
This paper is concerned with blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system. We first derive precise blow-up scenarios for strong solutions to the system. The...
Blow-up phenomena for scalar-flat metrics on manifolds with boundary
Blow-up phenomena scalar-flat metrics
2010/11/23
Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary ...