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