Radon measures as solutions of the Cauchy problem for evolution equations (Q777333)

The author studies space-periodic solutions to the compressible multi-D Navier-Stokes system. Existence of a weak asymptotic solution is established with the help of a special differential-difference approximation scheme. It is shown that the density and momentum components are represented by Radon measures in the limit as the approximation parameter vanishes while the velocity remains bounded. The author demonstrates that the presented methods can be also applied for more general types of evolution equations.