15 citations · 47 across the 11 of their papers we have counts for
4 papers · 1 filter
Asymptotic decay and non-rupture of viscous sheets
Marco A. Fontelos, G. Kitavtsev, R. M. Taranets
For a nonlinear system of coupled PDEs, that describes evolution of a viscous thin liquid sheet and takes account of surface tension at the free surface, we show exponential $(H^1,…
Thin film models for active gels
Georgy Kitavtsev, Andreas Münch, Barbara Wagner
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 contributi…
A Compactness and Structure Result for a Discrete Multi-Well Problem with Symmetry in Arbitrary Dimension
Georgy Kitavtsev, Gianluca Lauteri, Stephan Luckhaus +1
In this note we combine the "spin-argument" from [KLR15] and the -dimensional incompatible, one-well rigidity result from [LL16], in order to infer a new proof for the compactne…
Thermal rupture of a free liquid sheet
Georgy Kitavtsev, Marco A. Fontelos, Jens Eggers
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…