9 citations · 28 across the 30 of their papers we have counts for
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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…
Global Convergence and Error Estimates in Infinity-ion-mass Limits for Bipolar Euler-Poisson System
Yachun Li, Shihao Wang, Liang Zhao
This paper is concerned with the global-in-time convergence from bipolar Euler-Poisson system (BEP) to unipolar one (UEP) through the infinity-ion-mass limit by letting the ratio o…
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…
The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity
Yachun Li, Lizhen Zhang
The global existence of martingale solutions to the compressible Navier-Stokes equations driven by stochastic external forces, with density-dependent viscosity and vacuum, is estab…
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…
A Boundary Value Problem for a Class of Anisotropic Stochastic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li, Daniel Marroquin +2
We establish the well-posedness of an initial-boundary value problem of mixed type for a stochastic nonlinear parabolic-hyperbolic equation on a space domain $\cO=\cO'\X\cO''$ wher…