On global existence of strong and classical solutions of Navier-Stokes equations

Andrey Polyakov (1)

1 VALSE - Finite-time control and estimation for distributed systems

The paper presents a simple proof of global existence of strong and classical solutions of Navier-Stokes equations in R^3 accepting that their existence for small initial data is already proven for example, in [2] and [4].

Domaines: Equations aux dérivées partielles [math.AP]

Andrey Polyakov. On global existence of strong and classical solutions of Navier-Stokes equations. 2019. ⟨hal-02096215v2⟩