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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.AP2023
Growth of Sobolev norms for 2D cubic nonlinear Schrödinger equation with partial harmonic potential
Mingming Deng, Xiaoyan Su, Jiqiang Zheng
In this paper, we study the D cubic nonlinear Schrödinger equation (NLS) with the partial harmonic potential. First, we prove the local well-posedness in Bourgain spaces by esta…