Vladimir Mityushev

Work

Cracow University of Technology

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Professor

Poland

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Education

Belorusskij gosudarstvennyj universitet

Belarus
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PhD

Publications

Transport Properties of a Fibre-layer Composite Material

IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

other

Computational Strategy for Analyzing Effective Properties of Random Composites—Part I: Conductivity

Applied Sciences

journal-article

Computational Strategy for Analyzing Effective Properties of Random Composites—Part I: Conductivity

Applied Sciences

journal-article

Spectral ℝ-Linear Problems: Applications to Complex Permittivity of Coated Cylinders

Mathematics

journal-article

Structural sums on the complex plane and their application to composite materials

Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series

journal-article

Study of anisotropy in polydispersed 2D micro and nano-composites by Elbow and K-Means clustering methods

Acta Materialia

journal-article

An asymptotic homogenization formula for complex permittivity and its application

Advances in the Theory of Nonlinear Analysis and its Application

journal-article

Lattice sums for double periodic polyanalytic functions

Analysis and Mathematical Physics

journal-article

Effective properties of two-dimensional dispersed composites. Part II. Revision of self-consistent methods

Computers & Mathematics with Applications

journal-article

Effective properties of two-dimensional dispersed composites. Part I. Schwarz's alternating method

Computers & Mathematics with Applications

journal-article

Optimal Random Packing of Spheres and Extremal Effective Conductivity

Symmetry

journal-article

Optimal Random Packing of Spheres and Extremal Effective Conductivity

Symmetry

journal-article

Optimal Random Packing of Spheres and Extremal Effective Conductivity

Symmetry

journal-article

Effective Conductivity of Densely Packed Disks and Energy of Graphs

Mathematics

journal-article

Effective Conductivity of Densely Packed Disks and Energy of Graphs

Mathematics

journal-article

Schwarz’s alternating method in a matrix form and its applications to composites

Applied Mathematics and Computation

journal-article

Effective conductivity of a random suspension of highly conducting spherical particles

Applied Mathematical Modelling

journal-article

Effective Properties of Fibrous Composites and Cluster Convergence

Multiscale Modeling & Simulation

journal-article

Multiple Ginzburg–Landau vortices pinned by randomly distributed small holes

IMA Journal of Applied Mathematics

journal-article

Cluster method in composites and its convergence

Applied Mathematics Letters

journal-article

An analytical formula for the effective conductivity of 2D domains with cracks of high density

Applied Mathematical Modelling 53, 214–222

journal-article

Conductivity of two-dimensional composites with randomly distributed elliptical inclusions

ZAMM · 98, 512-516

journal-article

Elastic properties of a unidirectional composite reinforced with hexagonal array of fibers

Archives of Mechanics

journal-article

Exact and “Exact” Formulae in the Theory of Composites, Modern Problems in Applied Analysis

P. Drygaś, S. Rogosin, Birkhauzer, Springer International Publishing AG, Cham, 15-34

book-chapter

Introduction to Mathematical Modeling and Computer Simulations

CRC – Taylor & Francis, Boca Raton

book

Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain

Modern Problems in Applied Analysis, eds: P. Drygaś, S. Rogosin, Birkhauzer, Springer International Publishing AG, Cham, 135-152

book-chapter

Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits

New Trends in Analysis and Interdisciplinary Applications

other

Contrast Expansion Method for Elastic Incompressible Fibrous Composites

Advances in Mathematical Physics

journal-article

Functional Equations for Analytic Functions and Their Application to Elastic Composites

New Trends in Analysis and Interdisciplinary Applications

other

Optimal and stable random pattern formations

J Theoretical Biology, 422, 7, 12–17

journal-article

Computational Analysis of Structured Media

Academic Press, Elsevier

book

Effective elastic properties of random two-dimensional composites

International Journal of Solids and Structures

journal-article

Solution to the Dirichlet problem for an infinite strip domain with holes

Complex Variables and Elliptic Equations

journal-article

Pattern formations and optimal packing

Mathematical Biosciences

journal-article

Composites with invisible inclusions: Eigenvalues of ℝ-linear problem

European Journal of Applied Mathematics

journal-article

Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders

Contributions in Mathematics and Engineering

other

Pattern formations and optimal packing

Mathematical Biosciences

journal-article

Closed-form evaluation of two-dimensional static lattice sums

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

journal-article

Random 2D Composites and the Generalized Method of Schwarz

Advances in Mathematical Physics

journal-article

Random 2D Composites and the Generalized Method of Schwarz

Advances in Mathematical Physics

journal-article

Schwarz problem for bi-analytic functions in multiply connected domains

Complex Variables and Elliptic Equations

journal-article

Applications of Functional Equations to Dirichlet Problem for Doubly Connected Domains

Handbook of Functional Equations

other

Mathematical Models of Mechanical Fields in Media with Inclusions and Holes

Handbook of Functional Equations

other

Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups

Analytic Number Theory, Approximation Theory, and Special Functions

other

Conductivity of fibre composites with fractures on the boundary of inclusions

Multiscale Model. Simul.

journal-article

Nonlinear correction to Darcy’s law for channels with wavy walls

Acta Mechanica

journal-article

Maxwell's approach to effective conductivity and its limitations

The Quarterly Journal of Mechanics and Applied Mathematics

journal-article

$$ \mathbb{R} $$ -Linear problem for multiply connected domains and alternating method of Schwarz

Journal of Mathematical Sciences

journal-article

Conductivity of Fibre Composites with Fractures on the Boundary of Inclusions

Multiscale Modeling & Simulation

journal-article

A fast algorithm for computing the flux around non-overlapping disks on the plane

Mathematical and Computer Modelling

journal-article

Maxwell’s approach to effective conductivity and its limitations

The Quarterly Journal of Mechanics and Applied Mathematics

journal-article

Nonlinear correction to Darcy's law

Acta Mechanica

journal-article

Optimal Distribution of the Nonoverlapping Conducting Disks

Multiscale Modeling & Simulation

journal-article

Effective conductivity of random two-dimensional composites with circular non-overlapping inclusions

Computational Materials Science

journal-article

Schwarz-Christoffel Formula for Multiply Connected Domains

Computational Methods and Function Theory

journal-article

Simulation of representative volume elements for random 2D composites with circular non-overlapping inclusions

Theoretical and Applied Informatics

journal-article

Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps

Computational Methods and Function Theory

journal-article

Scalar Riemann–Hilbert Problem for Multiply Connected Domains

Functional Equations in Mathematical Analysis

other

Electrokinetic phenomena in wavy channels

Journal of Colloid and Interface Science

journal-article

Resurgence flows in three-dimensional periodic porous media

Physical Review E

journal-article

Resurgence flows in porous media

Physical Review E

journal-article

THE WEIERSTRASS ${\cal P}$–FUNCTION IS NOT TOPOLOGICALLY ELEMENTARY

More Progresses in Analysis

conference-paper

On the Riemann–Hilbert Problem with a Piecewise Constant Matrix

Zeitschrift für Analysis und ihre Anwendungen

journal-article

Analytical methods for heat conduction in composites

Mathematical Modelling and Analysis

journal-article

Couette flow in channels with wavy walls

Acta Mechanica

journal-article

The Bergman kernel for circular multiply connected domains

Pacific Journal of Mathematics

journal-article

Stokes flow through a channel with wavy walls

Acta Mechanica

journal-article

Representative cell in mechanics of composites and generalized Eisenstein–Rayleigh sums

Complex Variables and Elliptic Equations

journal-article

Increase and Decrease of the Effective Conductivity of Two Phase Composites due to Polydispersity

Journal of Statistical Physics

journal-article

R-linear problem on torus and its applications to composites

Complex Variables, Theory and Application: An International Journal

journal-article

Macroscopic diffusion on rough surfaces

Physical Review E

journal-article

CONSTRUCTIVE METHODS FOR BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS

Progress in Analysis

conference-paper

Schwarz Problem for Multiply Connected Domains and its Application to Diffusion Around Fractals

Complex Variables, Theory and Application: An International Journal

journal-article

Effective medium approximation and exact formulae for electrokinetic phenomena in porous media

Journal of Physics A: Mathematical and General

journal-article

Transport Properties of a Fibre-layer Composite Material

IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

book-chapter

Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems

Applied Mathematics and Optimization

journal-article

Transport Properties of a Fibre-layer Composite Material

IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

book-chapter

A linear functional equation with a singularity at a fixed point

Aequationes Mathematicae

journal-article

Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case

IMA Journal of Applied Mathematics

journal-article

Hilbert boundary value problem for multiply connected domains

Complex Variables, Theory and Application: An International Journal

journal-article

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Annales Polonici Mathematici

journal-article

FUNCTIONAL EQUATIONS IN A CLASS OF ANALYTIC FUNCTIONS AND COMPOSITE MATERIALS

Demonstratio Mathematica

journal-article

Riemann problem on the double of a multiply connected circular region

Annales Polonici Mathematici

journal-article

Transport Properties of Double-Periodic Arrays of Circular Cylinders

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

journal-article

A method of functional equations for boundary value problems of continuous media

Reports on Mathematical Physics

journal-article

Influence of the length difference of the crack's edges in fracture mechanics

Vestnik BGU

journal-article

The eigenvalues of the problems of ℝ-linear conjugation

Russ. Math.; translation from Izv. Vyssh. Uchebn. Zaved., Mat.

journal-article

Functional equations for harmonic functions in multiply connected domains

Differential Equations

journal-article

Functional equations for analytic and harmonic functions

Differential Equations

journal-article

Heat and wave equations on graphs

Differential Equations

journal-article

Solutions of a real conjugation problem (Markushevich problem) for a ring in a special case

Soviet Mathematics

journal-article

Carleman boundary value problem for an annulus and its application

Vestn. Beloruss. Gos. Univ., Ser. I

journal-article

A functional equation with shift in a domain with a fixed point on the boundary

Vestnik BGU

journal-article

On a linear functional equation in a class of analytic functions

Vestnik BGU Ser.1

journal-article

On a certain application of the method of incomplete factorization

Dokl. Akad. Nauk BSSR 29, 688-690

journal-article

On a generalization of the Hilbert boundary value problem

Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 6, 101-102

journal-article

On the solution of a general boundary value problem of linear conjugation for an annulus

Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk , No. 3, 25-33

journal-article

Solution to a linear functional equation with a shift into domain

Akad. navuk BSSR. Ser. Phys.-Math. 5, 117

journal-article