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math.AP2023★ 2 cited
Nonuniqueness of Leray-Hopf solutions to the forced fractional Navier-Stokes Equations in three dimensions, up to the J. L. Lions exponent
Calvin Khor, Changxing Miao, Xiaoyan Su
In this paper, we show that for , there exists a force and two distinct Leray-Hopf flows solving the forced fractional Navier-Stokes equation starting…
math.CA2023
Fourier decay of fractal measures on surfaces of co-dimension two in
Zhenbin Cao, Changxing Miao, Zijian Wang
Fourier decay of fractal measures on surfaces plays an important role in geometric measure theory and partial differential equations. In this paper, we study the quadratic surfaces…
math.CA2023★ 1 cited
Sharp pointwise convergence on the Schrödinger operator along one class of curves
Zhenbin Cao, Changxing Miao
Almost everywhere convergence on the solution of Schrödinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this n…