Global dissipative solutions of the 3D Naiver-Stokes and MHD equations

Alexey Cheskidov, Zirong Zeng, Deng Zhang

For any divergence free initial data in $H^{\frac{1}{2}}$, we prove the existence of infinitely many dissipative solutions to both the 3D Navier-Stokes and MHD equations, whose energy pr…