2 papers
math.AP2025
Global dissipative solutions of the 3D Naiver-Stokes and MHD equations
Alexey Cheskidov, Zirong Zeng, Deng Zhang
For any divergence free initial data in , we prove the existence of infinitely many dissipative solutions to both the 3D Navier-Stokes and MHD equations, whose energy pr…
math.AP2024
Non-Leray-Hopf solutions to 3D stochastic hyper-viscous Navier-stokes equations: beyond the Lions exponents
Wenping Cao, Zirong Zeng, Deng Zhang
We consider the 3D stochastic Navier-Stokes equations (NSE) on torus where the viscosity exponent can be larger than the Lions exponent 5/4. For arbitrarily prescribed divergence-f…