On the non-stationary Navier-Stokes equations with an external force. (English) Zbl 0952.35089
Two different existence and uniqueness theorems and algorithms for constructing global mild solutions in \(C([0,T); L^3(\mathbb{R}^3))\) to the Cauchy problem for the Navier-Stokes equations with an external force are presented.
Reviewer: Oleg Dementiev (Chelyabinsk)
MSC:
35Q30 | Navier-Stokes equations |
76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
76D05 | Navier-Stokes equations for incompressible viscous fluids |