prof. dr. sc. Igor Velčić

Full Professor

Department of Applied Mathematics

Location:
Public phone number:
6129-965
Internal phone number:
465

Poroelastic plate model obtained by simultaneous homogenization and dimension reduction

Bužančić, Marin; Hernández-Llanos, Pedro; Velčić, Igor; Žubrinić, Josip
2026.
Journal of evolution equations

High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence

Cherdantsev, Mikhail; Cherednichenko, Kirill; Velčić, Igor
2026.
Communications in mathematical physics

Homogenisation and spectral convergence of high-contrast convolution type operators

Cherdantsev, Mikhail; Piatnitski, Andrey; Velčić, Igor
2026.
Journal of differential equations

Effective Behaviour of Critical-Contrast PDEs: Micro-Resonances, Frequency Conversion, and Time Dispersive Properties. II

Cherednichenko, Kirill; Kiselev, Alexander V.; Velčić, Igor; Žubrinić, Josip
2025.
Communications in mathematical physics

High-contrast random systems of PDEs: Homogenization and spectral theory

Capoferri, Matteo; Cherdantsev, Mikhail; Velčić, Igor
2025.
Communications in contemporary mathematics

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

Bužančić, Marin; Davoli, Elisa; Velčić, Igor
2024.
Calculus of variations and partial differential equations

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes

Bužančić, Marin; Davoli, Elisa; Velčić, Igor
2024.
Advances in Calculus of Variations

Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast

Cherednichenko, Kirill ; Velčić, Igor ; Žubrinić, Josip
2023.
Calculus of variations and partial differential equations

Eigenfunctions Localised on a Defect in High-Contrast Random Media

Capoferri, Matteo; Cherdantsev, Mikhail; Velčić, Igor
2023.
Siam journal on mathematical analysis

Microscopical justification of the Winterbottom problem for well-separated lattices

Piovano, Paolo; Velčić, Igor
2023.
Nonlinear analysis : theory, methods and applications

Spectral and evolution analysis of composite elastic plates with high contrast

Bužančić, Marin; Cherednichenko, Kirill; Velčić, Igor; Žubrinić, Josip
2022.
Journal of elasticity

Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties

Cherednichenko, Kirill; Velčić, Igor
2022.
Journal of the London Mathematical Society

Spectral and Evolution Analysis of Composite Elastic Plates with High Contrast

Bužančić, Marin; Cherednichenko, Kirill; Velčić, Igor; Žubrinić, Josip
2022.
Journal of elasticity

Microscopical Justification of Solid-State Wetting and Dewetting

Piovano, Paolo; Velčić, Igor
2022.
Journal of nonlinear science

Stochastic homogenisation of high-contrast media

Cherdantsev, Mikhail ; Cherednichenko, Kirill ; Velčić, Igor
2019.
Applicable analysis

Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells

Hornung, Peter ; Velčić, Igor
2018.
Journal de mathématiques pures et appliquées

Stochastic homogenization of the bending plate model

Hornung, Peter ; Pawelczyk, Matthaus ; Velčić, Igor
2018.
Journal of mathematical analysis and applications

On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure

Bukal, Mario ; Velčić, Igor
2017.
Calculus of variations and partial differential equations

ON THE GENERAL HOMOGENIZATION OF VON KARMAN PLATE EQUATIONS FROM 3D NONLINEAR ELASTICITY

Velčić, Igor
2017.
Calculus of variations and partial differential equations

Derivation of homogenized Euler–Lagrange equations for von Kármán rods

Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor
2017.
Journal of differential equations

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

Marohnić, Maroje ; Velčić, Igor
2016.
Annali di matematica pura ed applicata

Derivation of a homogenized von-Kármán shell theory from 3D elasticity

Hornung, Peter ; Velčić, Igor
2015.
Annales de l institut henri poincare-analyse non lineaire

On the derivation of homogenized bending plate model

Velčić, Igor
2015.
Calculus of variations and partial differential equations

HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS

Marohnić, Maroje ; Velčić, Igor
2015.
Communications on pure and applied analysis

Derivation of a homogenized nonlinear plate theory from 3d elasticity

Hornung, Peter ; Neukamm, Stefan ; Velčić, Igor
2014.
Calculus of variations and partial differential equations

Derivation of a homogenized von-Karman plate theory from 3D nonlinear elasticity

Neukamm, Stefan ; Velčić, Igor
2013.
Mathematical models and methods in applied sciences

Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type

Velčić, Igor
2013.
Annali della scuola normale superiore di pisa-classe di scienze

Derivation of the nonlinear bending-torsion model for a junction of elastic rods

Tambača, Josip ; Velčić, Igor
2012.
Proceedings. Section A. Mathematics (Edinburgh)

Nonlinear weakly curved rod by $\Gamma$-convergence

Velčić, Igor
2012.
Journal of elasticity

Shallow shell models by $\Gamma$-convergence

Velčić, Igor
2012.
Mathematics and mechanics of solids

Existence theorem for nonlinear micropolar elasticity

Tambača, Josip ; Velčić, Igor
2010.
ESAIM. Control, optimisation and calculus of variations

Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity

Velčić, Igor ; Tambača, Josip
2010.
Mathematics and mechanics of solids

Semicontinuity theorem in the micropolar elasticity

Tambača, Josip ; Velčić, Igor
2010.
ESAIM. Control, optimisation and calculus of variations

Evolution Model for Linearized Micropolar Plates by the Fourier Method

Tambača, Josip ; Velčić, Igor
2009.
Journal of elasticity

Derivation of a model of nonlinear micropolar plate

Tambača, Josip ; Velčić, Igor
2008.
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche

Evolution model of linear micropolar plate

Tambača, Josip ; Velčić, Igor
2007.
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche

Problemi konzistencije za Heath-Jarrow-Mortonov model kamatnih stopa

Velčić, Igor
2004.

Teaching

University undergraduate

University graduate

Competences

  • Mathematics
    Partial differential equations