2 papers
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…
math.AP2012
Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations
Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
In this note we give a criterion for the existence of global strong solutions for the 3D Navier-Stokes system for any regular initial data.