2 papers
math.DS2016
Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems
Michael Zgurovsky, Mark Gluzman, Nataliia Gorban +3
In this paper we consider sufficient conditions for the existence of uniform compact global attractor for non-autonomous dynamical systems in special classes of infinite-dimensiona…
math.AP2015
Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations
Nataliia V. Gorban, Pavlo O. Kasyanov, Olha V. Khomenko +1
In this note we prove that each weak solution for the 3D Navier-Stokes system satisfies Leray-Hopf property. Moreover, each weak solution is rightly continuous in the standard phas…