Joerg Wolf

On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane

We study partial regularity of weak solutions of the three-dimensional (3D) valued nonstationary Hall magnetohydrodynamics equations on

On Partial Regularity for the Steady Hall Magnetohydrodynamics System

\mathbb{R}^2

Removing discretely self-similar singularities for the 3D Navier–Stokes equations

. In particular, we prove the existence of a weak solution whose set of possible singularities has the space-time Hausdorff dimension at most two.

On the Liouville Type Theorems for Self-Similar Solutions to the Navier–Stokes Equations

We study partial regularity of suitable weak solutions of the steady Hall magnetohydrodynamics equations in a domain

A new local regularity criterion for suitable weak solutions of the Navier–Stokes equations in terms of the velocity gradient

{\Omega \subset \mathbb{R}^3}

A Note on the Pressure of Strong Solutions to the Stokes System in Bounded and Exterior Domains

Ω⊂R3. In particular, we prove that the set of possible singularities of the suitable weak solution has Hausdorff dimension at most one. Moreover, in the case

Interior Differentiability of Weak Solutions to the Equations of Stationary Motion of a Class of Non-Newtonian Fluids

{\Omega=\mathbb{R}^3}