20 citations · 38 across the 16 of their papers we have counts for
18 papers
Uniqueness of distributional solutions to the 2D vorticity Navier-Stokes equation and its associated nonlinear Markov process
Viorel Barbu, Michael Röckner, Deng Zhang
In this work we prove uniqueness of distributional solutions to Navier-Stokes equations in vorticity form on with Radon…
Complex-valued neural operator assisted soliton identification
Ming Zhang, Qi Meng, Deng Zhang +5
The numerical determination of solitary states is an important topic for such research areas as Bose-Einstein condensates, nonlinear optics, plasma physics, etc. In this paper, we…
Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations
Yachun Li, Peng Qu, Zirong Zeng +1
We study the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations (CNS) under general pressure laws in all dimensions . For all hypo-viscosi…
Sharp non-uniqueness of weak solutions to 3D magnetohydrodynamic equations
Yachun Li, Zirong Zeng, Deng Zhang
We prove the non-uniqueness of weak solutions to 3D hyper viscous and resistive MHD in the class , where the exponents lie in two supercritical regimes. T…
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Yachun Li, Peng Qu, Zirong Zeng +1
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent can be larger than the Lions exponent . It is well-known that, due to L…
Ill-posedness of quintic fourth order Schrödinger equation
Bo Xia, Deng Zhang
We prove that the solution map, associated to the quintic fourth order nonlinear Schrödinger equation, exhibits the norm inflation phenomenon at every point in the Sobolev spaces o…