Deng Zhang

Global dissipative solutions of the 3D Navier–Stokes and MHD equations

For any nontrivial divergence‐free initial data in H12$H^\frac{1}{2}$ , we prove the existence of infinitely many dissipative solutions to both the 3D Navier–Stokes and MHD equations, whose energy profiles are continuous and decreasing on [0,∞)$[0,\infty)$ . If the initial data is only L2$L^2$ , our construction yields...