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

Inci, Hasan2016-10-182016-10-182016-10-18201610.1080/14029251.2016.1161261https://infoscience.epfl.ch/handle/20.500.14299/130131WOS:000379045000005In 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.diffeomorphism groupsolution mapOn the well-posedness of the Holm-Staley b-family of equationstext::journal::journal article::research article