Non-uniform dependence on initial data for the Euler equations in Besov spaces
Abstract
In the paper, we consider the initial value problem to the higher dimensional Euler equations in the whole space. Based on the new technical which is developed in Li2, we proved that the data-to-solution map of this problem is not uniformly continuous in nonhomogeneous Besov spaces in the sense of Hadamard. Our obtained result improves considerably the recent result given by Pastrana Pastrana.
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