6 citations · 19 across the 11 of their papers we have counts for
15 papers
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast
Kirill Cherednichenko, Igor Velčić, Josip Žubrinić
We provide resolvent asymptotics as well as various operator-norm estimates for the system of linear partial differential equations describing the thin infinite elastic rod with ma…
Microscopical Justification of the Winterbottom problem for well-separated Lattices
Paolo Piovano, Igor Velčić
We consider the discrete atomistic setting introduced in \cite{PiVe1} to microscopically justify the continuum model related to the \emph{Winterbottom problem}, i.e., the problem o…
Microscopical justification of Solid-State Wetting and Dewetting
Paolo Piovano, Igor Velčić
The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension…
Sharp operator-norm asymptotics for thin elastic plates with rapidly oscillating periodic properties
Kirill Cherednichenko, Igor Velčić
We analyse a system of partial differential equations describing the behaviour of an elastic plate with periodic moduli in the two planar directions, in the asymptotic regime when…
Stochastic homogenisation of high-contrast media
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
Using a suitable stochastic version of the compactness argument of [V. V. Zhikov, 2000. On an extension of the method of two-scale convergence and its applications. Sb. Math., 191(…
Derivation of homogenized Euler-Lagrange equations for von Karman rod
M. Bukal, M. Pawelczyk, I. Velcic
In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the…