output
20052020
most citedBlack holes, gravitational waves and fundamental physics: a roadmap

742 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.AP2019★ 4 cited

Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid -- thin structure interaction problems

Mario Bukal, Boris Muha

We analyze a linear 3D/3D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic plate-like structure with the aim of deriving a simplified…

math.AP2018★ 6 cited

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…

math.AP2015

Transport-collapse scheme for scalar conservation laws -- initial and boundary value problems

Darko Mitrovic, Andrej Novak

We extend Brenier's transport collapse scheme on the Cauchy problem for heterogeneous scalar conservation laws and initial-boundary value problem for homogeneous scalar conservatio…

math.AP2014★ 4 cited

General homogenization of bending-torsion theory for inextensible rods from 3D elasticity

Maroje Marohnic, Igor Velcic

We derive, by means of Gamma-convergence, the equations of homogenized bending rod starting from nonlinear elasticity equations. The main assumption is that the energy behaves…

math.AP2013★ 6 cited

On the general homogenization of von Karman plate equations from 3D nonlinear elasticity

Igor Velcic

Starting from 3D elasticity equations we derive the model of the homogenized von Kármán plate by means of -convergence. This generalizes the recent results, where the material o…

math.AP2012

On the derivation of homogenized bending plate model

Igor Velcic

We derive, via simultaneous homogenization and dimension reduction, the -limit for thin elastic plates of thickness whose energy density oscillates on a scale $\eh$ such tha…