Haibo Yang, Qixiang Yang, Huoxiong Wu
Published 2021-08-15Version 1
Norm inflation implies certain discontinuous dependence of the solution on the initial value. The well-posedness of the mild solution means the existence and uniqueness of the fixed points of the corresponding integral equation. In this paper, we construct a non-Gauss flow function to show that, for classic Navier-Stokes equations, wellposedness and norm inflation have no conflict.
Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces
Ill-posedness of the Navier-Stokes and magneto-hydrodynamics systems
A note on ill-posedness for the KdV equation
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