Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in $L_{loc}^2({\mathbb{R}}^3)$

Dongho Chae, Joerg Wolf

We prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in ${\mathbb{R}}^3\times (0,+\infty )$ for a discretely self-similar initial veloci…