Sauli Lindberg

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math.AP2026

Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation

Giacomo Del Nin, Daniel Faraco, Sauli Lindberg +1

For any smooth bounded domain $I^c ◯ \subset R^{3}$ , we construct a divergence-free velocity field $u \in L_{t}^{1} W^{1, p} (I^c ◯)$ for all $p < \infty$ , and magnetic fields $B^Îµ\in L…

math.AP2025

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $R^{3}$

Sauli Lindberg

Let $r, s \in [2, \infty]$ and consider the Navier-Stokes equations on $R^{3}$ . We study the following two questions for suitable $s$ -homogeneous Banach spaces $X \subset \mat…

Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on R3

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $R^{3}$