## On the well-posedness of the Holm-Staley b-family of equations

In this paper we consider the Holm-Staley b-family of equations in the Sobolev spaces H-s (R) for s > 3/2. Using a geometric approach we show that, for any value of the parameter b, the corresponding solution map, u(0) bar right arrow u(T), is nowhere locally uniformly continuous.

Published in:
Journal Of Nonlinear Mathematical Physics, 23, 2, 213-233
Year:
2016
Publisher:
Abingdon, Taylor & Francis Ltd
ISSN:
1402-9251
Keywords:
Laboratories: