id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
gh93gx43s3t	Ryan Cole Thompson	The Cauchy Problem for the CH2 System	2015		.txt	text/plain	95	3	53	For Sobolev exponent s > 5=2, it is shown that the data-to-solution map for the2-component Camassa-Holm system is continuous from Hs x Hs􀀀-1 into C([0; T];Hs x Hs􀀀-1) but not uniformly continuous. The proof of non-uniform dependence on the initial data is based on the method of approximate solutions, delicate commutator and multiplier estimates, and well-posedness results for the solution and its lifespan.	cache/gh93gx43s3t.txt	txt/gh93gx43s3t.txt