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20122023
most citedFatou's Lemma in Its Classic Form and Lebesgue's Convergence Theorems for Varying Measures with Applications to MDPs

5 citations · 10 across the 20 of their papers we have counts for

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math.AP2023

On Right Continuity in at All the Points of Energy-regularized Solutions for the 3D Navier-Stokes Equations

Pavlo O. Kasyanov

In this note I provide the notion of energy-regularized solutions (ER-solutions) of the 3D Navier-Stokes equations. These solutions can be obtained via the standard Galerkin argume…

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.

math.AP2012

Existence of Strong Solutions for the 3D Navier-Stokes System

Michael Z. Zgurovsky, Pavlo O. Kasyanov

Regularity properties of strong solutions are considered.