11 citations · 14 across the 14 of their papers we have counts for
14 papers
Properties of Besov-Lorentz spaces and application to Navier-Stokes equations
Qixiang Yang, Hongwei Li
Inspired by Caffarelli-Kohn-Nirenberg, Fefferman and Lin, we try to investigate how to control the set of large value points for the strong solution of Navier-Stokes equations. Bes…
Can TM system form an unconditional basis for Banach spaces?
Haibo Yang, Chitin Hon, Qixiang Yang +1
The research on the algorithm of analytic signal has received much attention for a long time. Takenaka-Malmquist (TM) system was introduced to consider analytic functions in 1925.…
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…
Symmetry and rigidity: Only one kind of symmetry allow non-zero real symmetric solution
Qixiang Yang
Leray guessed that, a blow-up solution should have similar structure as its initial data and proposed to consider self-similar solution. But Necas-Ruzicka-Sverak proved in 1996 tha…
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…