S. Chelkak, A. Koshelev, and L. Oganesyan

Regular Solutions of The Navier-Stokes System

The problem of existence of regular (continuous, H\"older--continuous) solutions for nonstationary Navier--Stokes systems is one of the important topics in modern mathematical physics. This problem is closely connected with two main issues: the uniqueness and the possibility to apply the methods for numerical analysis and practical computations. We consider here mainly the multidimensional nonstationary problem for finite (not necessarily small) time.

Mathematics Subject Classification: 35Q30, 76D05.

Key words and phrases: Nonstationary Navier--Stokes system, regular solution, iterations.