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pro vyhledávání: '"Kitavtsev, Georgy"'
Autor:
Kitavtsev, Georgy
This article continues the research initiated in [17]. We derive explicit formulae for the leading order profiles of eleven types of stationary solutions to a one-dimensional two-layer thin-film liquid model considered with an intermolecular potentia
Externí odkaz:
http://arxiv.org/abs/2407.12477
Autor:
Kitavtsev, Georgy, Taranets, Roman M.
We analyze long-time behavior of solutions to a class of problems related to very fast and singular diffusion porous medium equations having nonhomogeneous in space and time source terms with zero mean. In dimensions two and three, we determine criti
Externí odkaz:
http://arxiv.org/abs/2210.12025
Autor:
Kitavtsev, Georgy1 (AUTHOR) georgy.kitavtsev@gmail.com, Taranets, Roman M.2 (AUTHOR) taranets_r@yahoo.com
Publikováno v:
Asymptotic Analysis. 2024, Vol. 137 Issue 3/4, p153-176. 24p.
Autor:
Kitavtsev, Georgy, Taranets, Roman M.
In this paper, we extend the results of [1] by proving exponential asymptotic $H^1$-convergence of solutions to a one-dimensional singular heat equation with $L^2$-source term that describe evolution of viscous thin liquid sheets while considered in
Externí odkaz:
http://arxiv.org/abs/1810.02161
In this note we combine the "spin-argument" from [KLR15] and the $n$-dimensional incompatible, one-well rigidity result from [LL16], in order to infer a new proof for the compactness of discrete multi-well energies associated with the modelling of su
Externí odkaz:
http://arxiv.org/abs/1711.08271
In this study we present a free-boundary problem for an active liquid crystal based on the Beris-Edwards theory that uses a tensorial order parameter and includes active contributions to the stress tensor to analyse the rich defect structure observed
Externí odkaz:
http://arxiv.org/abs/1710.00309
We consider a free liquid sheet, taking into account the dependence of surface tension on temperature, or concentration of some pollutant. The sheet dynamics are described within a long-wavelength description. In the presence of viscosity, local thin
Externí odkaz:
http://arxiv.org/abs/1709.03858
We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent with the symmetry of the
Externí odkaz:
http://arxiv.org/abs/1608.03139
Autor:
Kitavtsev, Georgy
Publikováno v:
Journal of Nonlinear Science; Feb2025, Vol. 35 Issue 1, p1-45, 45p
Autor:
Kitavtsev, Georgy
Die vorliegende Arbeit beschaeftigt sich mit der Herleitung, Analyse und Numerik von reduzierten Systemen gewoehnlicher Differenzialgleichungen (bezeichnet als reduzierte Modelle), die einer Familie von eindimensionalen Schmierfilmgleichungen (lubric
Externí odkaz:
http://edoc.hu-berlin.de/18452/16721