01.06.2015 | Original Research | Ausgabe 1-2/2015
On initial data problem for a periodic 2-component \(\mu \)-b system
- Zeitschrift:
- Journal of Applied Mathematics and Computing > Ausgabe 1-2/2015
Abstract
This paper is concerned with the Cauchy problem of a periodic 2-component \(\mu \)-b system. We first establish the local well-posedness for the periodic 2-component \(\mu \)-b system by Kato’s semigroup theory, and then prove that the solution map is not uniformly continuous in \(H^s(\mathbb {S}),\, s>5/2\).
