Leray-Hopf and Continuity Properties for All Weak Solutions for the 3D~Navier-Stokes Equations

Autor: Gorban, Nataliia V., Kasyanov, Pavlo O., Khomenko, Olha V., Toscano, Luisa

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 phase space $H$ endowed with the strong convergence topology.
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Externí odkaz: http://arxiv.org/abs/1501.00679

Uniform trajectory attractor for non-autonomous reaction–diffusion equations with Carathéodory’s nonlinearity

Autor: Gorban, Nataliia V., Kapustyan, Oleksiy V., Kasyanov, Pavlo O.

Publikováno v: In Nonlinear Analysis March 2014 98:13-26

Qualitative properties and finite-dimensionality up to a small parameter of weak solutions for the Budyko–Sellers climate model

Autor: Zgurovsky, Michael Z., Kasyanov, Pavlo O., Gorban, Nataliia V., Paliichuk, Liliia S.

Publikováno v: Системні дослідження та інформаційні технології; № 4 (2018); 7-18
Системные исследования и информационные технологии; № 4 (2018); 7-18
System research and information technologies; № 4 (2018); 7-18

Проведено якісний аналіз поведінки розв’язків кліматологічної мо-делі енергетичного балансу Будико–Селлерса, розглянутої на ріманов

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::121206c2cb34990d61cf99742df03bb5
http://journal.iasa.kpi.ua/article/view/152058

Long-Time Behavior of State Functions for Badyko Models.

Autor: Gorban, Nataliia V., Gluzman, Mark O., Kasyanov, Pavlo O., Tkachuk, Alla M.

Publikováno v: Advances in Dynamical Systems & Control; 2016, p351-359, 9p

Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology, and Climatology.

Autor: Gluzman, Mark O., Gorban, Nataliia V., Kasyanov, Pavlo O.

Publikováno v: Continuous & Distributed Systems II; 2015, p233-243, 11p