6 papers
Non-uniqueness for the hyperdissipative Navier-Stokes equations with arbitrarily small subcritical data
Zipeng Chen, Song Liu, Zhaoyang Yin
In this paper, we consider the hyperdissipative Navier-Stokes equations with fractional dissipation with . We prove that smooth solutions of the hyperdissipative Navi…
Non-uniqueness of smooth solutions of the 5D magnetohydrodynamic equations from critical data
Zipeng Chen, Song Liu, Zhaoyang Yin
Recently, Coiculescu and Palasek \cite{Coiculescu2025} shows the non-uniqueness of solutions for the 3D incompressible Navier-Stokes equations with initial data in . Insp…
Global conservative weak solutions and global strong solutions for a class of weakly dissipative nonlinear dispersive wave equations
Yiyao Lian, Zhenyu Wan, Zhaoyang Yin
In this paper, we study the global existence of solutions of the Cauchy problem for a class of weakly dissipative nonlinear dispersive wave equations $u_t-u_{xxt}+(f\left(u\right))…
Global regularity and sharp decay rates to the 1D hypo-viscous compressible Navier-Stokes equations
Chen Liang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the global regularity and sharp decay rates for the isentropic hypo-viscous compressible Navier-Stokes equations in 1D. Firstly, we prove the global stabili…
Sharp non-uniqueness for the Boussinesq equation with fractional dissipation
Zipeng Chen, Zhaoyang Yin
This paper focuses on the -dimensional () Boussinesq equation with fractional dissipation on the torus. We show that the uniqueness property breaks down within…
Well-posedness and regularity for the Fractional Rough Burgers equation in Sobolev spaces with an application
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time white noise in space. For the higher dissipation , w…