2 papers
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…
math.AP2024
Existence and non-uniqueness of probabilistically strong solutions to 3D stochastic magnetohydrodynamic equations
Wenping Cao, Yachun Li, Deng Zhang
We are concerned with the 3D stochastic magnetohydrodynamic (MHD) equations driven by additive noise on torus. For arbitrarily prescribed divergence-free initial data in ,…