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arXiv · 2512.09770

Calder{\'o}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces

Pierre Gilles Lemarié-Rieusset
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Abstract

We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces , using Calder{\'o}n splitting L p $\Phi$$\gamma$ $\subset$ L 2 $\Phi$ 2 + L r (with some r $\in$ (3, +$\infty$)) and energy controls in L 2 $\Phi$ 2 .

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Pierre Gilles Lemarié-Rieusset. 2025-12-10. Calder{\'o}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces. https://arxiv.org/abs/2512.09770

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