Profil Larysa Khilkova

Schwerpunkte/Kompetenzen

• Theorie der Homogenisierung
• Partielle Differentialgleichungen
• Struktur- und Eigenschaftsmodellierung textiler 3D-Abstandsgewirke

Publikationen

Highlightpublikationen

• Khilkova, L. O.:
  Homogenized models of diffusion in a porous medium with nonlinear absorption at the boundary.
  B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, 154, 2018.
• Goncharenko, M. V.; Khilkova, L. O.; Khruslov, E. Ya.:
  Integral conditions for convergence of solutions of non-linear Robin's problem in strongly perforated domain.
  J. Math. Phys. Anal. Geom., Vol. 13, No. 3, 1-31, 2017.
• Goncharenko, M.V.; Khilkova, L. O.:
  Homogenized model of diffusion in porous media with nonlinear absorption at the boundary.
  Ukr. Matem. Zhurnal, Vol. 67, No. 9, pp. 1349-1366, 2016.

Weitere Publikationen

• Goncharenko, M.V.; Khilkova, L. O.:
  Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift.
  J. Math. Phys. Anal. Geom., Vol. 13, No. 2, 154-172, 2017.
• Khilkova, L. O.:
  Robin's nonlinear problem in domains with a fine-grained random boundary.
  International Conference Differential Equations, Mathematical Physics and Applications, Cherkasy, Oct 2017.
• Khilkova, L. O.; Khruslov, E. Ya.:
  Robin's nonlinear problem in domains with a fine-grained random boundary.
  Dopovidi NANU, Vol.11, No. 9., 3-8 Russian, 2017.
• Khilkova, L. O.:
  Homogenization of the diffusion equation in domains with the fine-grained boundary with the nonlinear boundary Robin condition.
  V International Conference “Analysis and mathematical physics” dedicated to Vladimir A. Marchenko's 95th birthday and the centennial anniversary of NAS of Ukraine, Kharkiv, Book of abstracts. – P. 36-37, Jun 2017.
• Khilkova L. O.:
  Integral conditions for convergence of solutions of non-linear Robin's problem in strongly perforated domains.
  International Conference of Mathematicians dedicated to the 100th Anniversary of NAS of Ukraine, Professor Yu. O. Mitropolskiy, Institute of Mathematics of NAS of Ukraine, Kyiv, Jun 2017.
• Khilkova, L. O.:
  Homogenization of the diffusion equation in domains with the fine-grained boundary with the nonlinear boundary Robin condition.
  Visnyk of KNU Ser. “Mathematics, Applied Mathematics and Mechanics”, Vol. 84, 93-111 Russian, 2016.
• Khilkova, L. O.:
  The study of the asymptotic behavior of the third boundary value problem solutions in domains with fine-grained boundaries.
  V International Conference on Differential Equations and Applications dedicated to Ya. B. Lopatynsky, Kyiv, Ukraine, Nov 2016.
• Khilkova, L. O.:
  Homogenized model of non-stationary diffusion in porous media with the drift.
  IV International Conference “Analysis and mathematical physics”, Kharkiv, Jun 2016.
• Goncharenko, M. V.; Khilkova, L. O.:
  Homogenized model of diffusion in a locally-periodic porous media with nonlinear absorption at the boundary.
  Dopovidi NANU, Vol.10, No. 6., 15-19 Russian, 2016.
• Khilkova, L. O.:
  Homogenized conductivity tensor and absorption function for a locally periodic porous medium.
  III International Conference “Analysis and mathematical physics”, Kharkiv, Jun 2015.
• Khilkova, L. O.:
  Homogenized model of diffusion in strongly connected porous media with nonlinear absorption at the boundary.
  International Conference of Mathematicians, Institute of Mathematics of NAS of Ukraine, Kyiv, Jun 2015.
• Khilkova, L. O.:
  Homogenized model of diffusion in porous media with nonlinear absorption at the boundary.
  II International Conference “Analysis and mathematical physics”, Kharkiv, Jun 2014.
• Khilkova, L. O.:
  The smooth dependence of the solution of the Neumann boundary-value “cell” problem on the parameters of a domain.
  Dopovidi NANU, Vol. 8, No. 4., 32-36, Russian, 2014.