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Well-posedness of Navier-Stokes equations established by the decaying speed of single norm
Qixiang Yang, Huoxiong Wu, Jianxun He +1
The decaying speed of a single norm more truly reflects the intrinsic harmonic analysis structure of the solution of the classical incompressible Navier-Stokes equations. No previo…
A remark on ill-posedness
Haibo Yang, Qixiang Yang, Huoxiong Wu
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 fixe…
Navier-Stokes equations, symmetric and uniform analytic solutions in phase space
Qixiang Yang
For incompressible Navier-Stokes equations, Necas-Ruzicka-Sverak proved that self-similar solution has to be zero in 1996. Further, Yang-Yang-Wu find symmetry property plays an imp…
Wavelets, Multiplier spaces and application to Schrödinger type operators with non-smooth potentials
Pengtao Li, Qixiang Yang, Yueping Zhu
In this paper, we employ Meyer wavelets to characterize multiplier spaces between Sobolev spaces without using capacity. Further, we introduce logarithmic Morrey spaces $M^{t,τ}_{r…