3 papers
math.DS2012
Structure and regularity of the global attractor of a reaction-di§usion equation with non-smooth nonlinear term
Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
In this paper we study the structure of the global attractor for a reaction- di§usion equation in which uniqueness of the Cauchy problem is not guarantied. We prove that the global…
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.