Weak infinite-energy solutions for the Navier-Stokes equations in \(\mathbb{R}^3\). (Solutions faibles d’énergie infinie pour les équations de Navier-Stokes dans \(\mathbb{R}^3\).) (French. Abridged English version) Zbl 0930.35125
Summary: We prove existence of suitable weak solutions for the Navier-Stokes equations on \((0,\infty)\times \mathbb{R}^3\) when the initial value is uniformly locally square integrable and vanishes at infinity.
MSC:
| 35Q30 | Navier-Stokes equations |
| 35D05 | Existence of generalized solutions of PDE (MSC2000) |
| 35D10 | Regularity of generalized solutions of PDE (MSC2000) |
