# zbMATH — the first resource for mathematics

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 Documents Indexed: 101 Publications since 1983, including 5 Books Reviewing Activity: 501 Reviews
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#### Co-Authors

 45 single-authored 10 Adler, Pierre M. 8 Nawalaniec, Wojciech 6 Drygaś, Piotr 6 Rogosin, Sergei V. 5 Gluzman, Simon 5 Rylko, Natalia 4 Czapla, Roman 4 Malevich, A. Eh. 4 Pesetskaya, Ekaterina V. 2 Berlyand, Leonid V. 2 Komyak, I. I. 2 Ruzhansky, Michael V. 2 Yakubovich, Semyon B. 1 Andrianov, Igor Vasil’evich 1 Barannyk, Leonid F. 1 Bojarski, Bogdan 1 Bryla, Marta 1 Çelebi, Ahmet Okay 1 Czaplinski, T. 1 Filshtinsky, Leonid A. 1 Jeong, Moonja 1 Kloskowska, Beata 1 Krupoderov, Andrei V. 1 Krushevskiĭ, E. A. 1 Krzaczek, Beata 1 Kushunin, Alexey A. 1 Makaruk, Svetlana F. 1 Musolino, Paolo 1 Nosov, D. M. 1 Obnosev, Yu. 1 Reszka, Krzysztof 1 Sokal, G. 1 Starushenko, Galina A. 1 Szczepkowski, J. 1 Zhorovina, T. N. 1 Zhuravkov, Michail A. 1 Ziȩtek, G. 1 Zverovich, Èdmund Ivanovich
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#### Serials

 8 Archives of Mechanics 4 Acta Mechanica 3 Quarterly Journal of Mechanics and Applied Mathematics 3 Differentsial’nye Uravneniya 3 Complex Variables. Theory and Application 3 Vestnik Belorusskogo Gosudarstvennogo Universiteta Imeni V. I. Lenina. Seriya I 3 Multiscale Modeling & Simulation 3 Complex Variables and Elliptic Equations 2 Journal of Statistical Physics 2 Annales Polonici Mathematici 2 Applied Mathematical Modelling 2 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Journal of Physics A: Mathematical and General 2 Słupskie Prace Matematyczno-Przyrodnicze 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Trudy Instituta Matematiki 2 Computational Methods and Function Theory 2 Advances in Mathematical Physics 1 Doklady Akademii Nauk BSSR 1 IMA Journal of Applied Mathematics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 Differential Equations 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Aequationes Mathematicae 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical Modelling and Analysis 1 Mathematical Biosciences and Engineering 1 Journal of Applied Functional Analysis 1 Annales Academiae Paedagogicae Cracoviensis. Studia Mathematica 1 Journal of Theoretical Biology 1 Springer Proceedings in Mathematics & Statistics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Trends in Mathematics 1 Mathematical Analysis and its Applications
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#### Fields

 49 Functions of a complex variable (30-XX) 36 Mechanics of deformable solids (74-XX) 16 Partial differential equations (35-XX) 10 Difference and functional equations (39-XX) 10 Fluid mechanics (76-XX) 9 Potential theory (31-XX) 7 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

67 Publications have been cited 372 times in 135 Documents Cited by Year
Constructive methods for linear and nonlinear boundary value problems for analytic functions: theory and applications. Zbl 0957.30002
Mityushev, V. V.; Rogosin, S. V.
2000
Generalized Clausius-Mossotti formula for random composite with circular fibers. Zbl 1072.82586
Berlyand, L.; Mityushev, V.
2001
Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. I: A single cylinder in the unit cell. Zbl 1005.76087
2002
Transport properties of doubly periodic arrays of circular cylinders and optimal design problems. Zbl 0982.30019
Mityushev, V.
2001
Optimal distribution of the nonoverlapping conducting disks. Zbl 1246.74046
2012
Effective conductivity of unidirectional cylinders with interfacial resistance. Zbl 1170.74043
Drygas, P.; Mityushev, V.
2009
Maxwell’s approach to effective conductivity and its limitations. Zbl 1291.74156
Mityushev, V.; Rylko, N.
2013
Riemann-Hilbert problems for multiply connected domains and circular slit maps. Zbl 1267.30018
2011
Representative cell in mechanics of composites and generalized Eisenstein-Rayleigh sums. Zbl 1116.74056
2006
Stokes flow through a channel with wavy walls. Zbl 1092.76017
Malevich, A. E.; Mityushev, V. V.; Adler, P. M.
2006
Hilbert boundary value problem for multiply connected domains. Zbl 0906.30033
Mityushev, V.
1998
Couette flow in channels with wavy walls. Zbl 1151.76420
Malevich, A. E.; Mityushev, V. V.; Adler, Pierre M.
2008
Convergence of the Poincaré series for some classical Schottky groups. Zbl 0899.30029
1998
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
2016
Analytical methods for heat conduction in composites. Zbl 1150.74038
Mityushev, V.; Obnosev, Yu.; Pesetskaya, E.; Rogosin, S.
2008
Increase and decrease of the effective conductivity of two-phase composites due to polydispersity. Zbl 1065.74054
Berlyand, L.; Mityushev, V.
2005
$$\mathbb R$$-linear problem for multiply connected domains and alternating method of Schwarz. Zbl 1276.30052
Bojarski, B.; Mityushev, V.
2013
Conformal mapping of circular multiply connected domains onto slit domains. Zbl 1291.30043
Czapla, Roman; Mityushev, Vladimir; Rylko, Natalia
2012
Schwarz-Christoffel formula for multiply connected domains. Zbl 1293.30021
2012
Exact solution of the R-linear problem for a disk in a class of doubly periodic functions. Zbl 1113.30035
Mityushev, V.
2007
Darcy flow around a two-dimensional permeable lens. Zbl 1086.76068
2006
Effective medium approximation and exact formulae for electrokinetic phenomena in porous media. Zbl 1066.74045
2003
Transport properties of two-dimensional composite materials with circular inclusions. Zbl 0953.74007
1999
Cluster method in composites and its convergence. Zbl 06826033
2018
Computational analysis of structured media. Zbl 1387.74001
Gluzman, Simon; Mityushev, Vladimir; Nawalaniec, Wojciech
2018
Random 2D composites and the generalized method of Schwarz. Zbl 1375.74007
2015
Mathematical models of elastic and piezoelectric fields in two-dimensional composites. Zbl 1309.74028
2014
Cross-properties of the effective conductivity of the regular array of ideal conductors. Zbl 1302.80016
Gluzman, S.; Mityushev, V.; Nawalaniec, W.
2014
$$\mathbb R$$-linear and Riemann-Hilbert problems for multiply connected domains. Zbl 1276.30053
2012
Scalar Riemann-Hilbert problem for multiply connected domains. Zbl 1248.30012
2011
Conductivity of a two-dimensional composite containing elliptical inclusions. Zbl 1180.82185
2009
Thermoelastic plane problem for material with circular inclusions. Zbl 0994.74021
Mityushev, V.
2000
Solution of the Hilbert boundary value problem for a multiply connected domain. Zbl 0818.30026
1994
Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. II: An arbitrary distribution of cylinders inside the unit cell. Zbl 1099.76536
2002
Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case. Zbl 0914.35043
Mityushev, V.
1998
Generalized method of Schwarz and addition theorems in mechanics of materials containing cavities. Zbl 0841.73077
Mityushev, V. V.
1995
Plane problem for the steady heat conduction of material with circular inclusions. Zbl 0785.73055
Mityushev, V. V.
1993
Random composite: stirred or shaken? Zbl 06639274
Gluzman, S.; Mityushev, V.; Nawalaniec, W.; Sokal, G.
2016
Poincaré $$\alpha$$-series for classical Schottky groups. Zbl 1323.30051
2014
Nonlinear correction to Darcy’s law for channels with wavy walls. Zbl 1398.76210
Adler, P. M.; Malevich, A. E.; Mityushev, V. V.
2013
R-linear problem on torus and its application to composites. Zbl 1089.30042
2005
A linear functional equation with a singularity at a fixed point. Zbl 0929.39007
1999
Transport properties of double-periodic arrays of circular cylinders. Zbl 0882.73045
Mityushev, V. V.
1997
Functional equations in a class of analytic functions and composite materials. Zbl 0878.39006
1997
Contrast expansion method for elastic incompressible fibrous composites. Zbl 1453.74025
2017
Effective conductivity and critical properties of a hexagonal array of superconducting cylinders. Zbl 1376.82110
Gluzman, Simon; Mityushev, Vladimir; Nawalaniec, Wojciech; Starushenko, Galina
2016
On the Riemann-Hilbert problem with a piecewise constant matrix. Zbl 1174.30046
Mityushev, Vladimir V.; Rogosin, Sergei V.
2008
The Bergman kernel for circular multiply connected domains. Zbl 1221.30017
2007
Schwarz problem for multiply connected domains and its application to diffusion around fractals. Zbl 1021.30043
2002
Invariant solutions of the multidimensional Boussinesq equation. Zbl 0948.35022
Barannyk, L. F.; Kloskowska, B.; Mityushev, V. V.
1997
Transport properties of finite and infinite composite materials and Rayleigh’s sum. Zbl 0886.73038
Mityushev, V.
1997
Effective conductivity of a random suspension of highly conducting spherical particles. Zbl 07187101
2019
Schwarz’s alternating method in a matrix form and its applications to composites. Zbl 1428.74051
Mityushev, V.; Nawalaniec, W.; Nosov, D.; Pesetskaya, E.
2019
Effective properties of fibrous Composites and cluster convergence. Zbl 1421.74086
2019
Mixed problem for Laplace’s equation in an arbitrary circular multiply connected domain. Zbl 1405.30042
2018
Exact and “exact” formulae in the theory of composites. Zbl 1405.74008
2018
Functional equations for analytic functions and their application to elastic composites. Zbl 1382.30063
2017
Conformal mapping of circular multiply connected domains onto domains with slits. Zbl 1385.30006
2017
A criterion of collective behavior of bacteria. Zbl 1362.92041
2017
Pattern formations and optimal packing. Zbl 1365.92017
2016
Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders. Zbl 1327.76056
2015
Schwarz problem for bi-analytic functions in multiply connected domains. Zbl 1321.30026
Çelebi, A. O.; Mityushev, V. V.
2015
Mathematical models of mechanical fields in media with inclusions and holes. Zbl 1314.31002
Bryla, Marta; Krupoderov, Andrei V.; Kushunin, Alexey A.; Mityushev, Vladimir; Zhuravkov, Michail A.
2014
Riemann problem on the double of a multiply connected circular region. Zbl 0883.30030
Mityushev, V. V.
1997
Rayleigh’s integral and effective conductivity of the square array of cylinders. Zbl 0821.73038
Mityushev, V. V.
1995
A method of functional equations for boundary value problems of continuous media. Zbl 0821.31003
Mityushev, V. V.
1993
The eigenvalues of the problems of $$\mathbb{R}$$-linear conjugation. Zbl 0805.30029
Mityushev, V. V.
1992
Effective conductivity of a random suspension of highly conducting spherical particles. Zbl 07187101
2019
Schwarz’s alternating method in a matrix form and its applications to composites. Zbl 1428.74051
Mityushev, V.; Nawalaniec, W.; Nosov, D.; Pesetskaya, E.
2019
Effective properties of fibrous Composites and cluster convergence. Zbl 1421.74086
2019
Cluster method in composites and its convergence. Zbl 06826033
2018
Computational analysis of structured media. Zbl 1387.74001
Gluzman, Simon; Mityushev, Vladimir; Nawalaniec, Wojciech
2018
Mixed problem for Laplace’s equation in an arbitrary circular multiply connected domain. Zbl 1405.30042
2018
Exact and “exact” formulae in the theory of composites. Zbl 1405.74008
2018
Contrast expansion method for elastic incompressible fibrous composites. Zbl 1453.74025
2017
Functional equations for analytic functions and their application to elastic composites. Zbl 1382.30063
2017
Conformal mapping of circular multiply connected domains onto domains with slits. Zbl 1385.30006
2017
A criterion of collective behavior of bacteria. Zbl 1362.92041
2017
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
2016
Random composite: stirred or shaken? Zbl 06639274
Gluzman, S.; Mityushev, V.; Nawalaniec, W.; Sokal, G.
2016
Effective conductivity and critical properties of a hexagonal array of superconducting cylinders. Zbl 1376.82110
Gluzman, Simon; Mityushev, Vladimir; Nawalaniec, Wojciech; Starushenko, Galina
2016
Pattern formations and optimal packing. Zbl 1365.92017
2016
Random 2D composites and the generalized method of Schwarz. Zbl 1375.74007
2015
Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders. Zbl 1327.76056
2015
Schwarz problem for bi-analytic functions in multiply connected domains. Zbl 1321.30026
Çelebi, A. O.; Mityushev, V. V.
2015
Mathematical models of elastic and piezoelectric fields in two-dimensional composites. Zbl 1309.74028
2014
Cross-properties of the effective conductivity of the regular array of ideal conductors. Zbl 1302.80016
Gluzman, S.; Mityushev, V.; Nawalaniec, W.
2014
Poincaré $$\alpha$$-series for classical Schottky groups. Zbl 1323.30051
2014
Mathematical models of mechanical fields in media with inclusions and holes. Zbl 1314.31002
Bryla, Marta; Krupoderov, Andrei V.; Kushunin, Alexey A.; Mityushev, Vladimir; Zhuravkov, Michail A.
2014
Maxwell’s approach to effective conductivity and its limitations. Zbl 1291.74156
Mityushev, V.; Rylko, N.
2013
$$\mathbb R$$-linear problem for multiply connected domains and alternating method of Schwarz. Zbl 1276.30052
Bojarski, B.; Mityushev, V.
2013
Nonlinear correction to Darcy’s law for channels with wavy walls. Zbl 1398.76210
Adler, P. M.; Malevich, A. E.; Mityushev, V. V.
2013
Optimal distribution of the nonoverlapping conducting disks. Zbl 1246.74046
2012
Conformal mapping of circular multiply connected domains onto slit domains. Zbl 1291.30043
Czapla, Roman; Mityushev, Vladimir; Rylko, Natalia
2012
Schwarz-Christoffel formula for multiply connected domains. Zbl 1293.30021
2012
$$\mathbb R$$-linear and Riemann-Hilbert problems for multiply connected domains. Zbl 1276.30053
2012
Riemann-Hilbert problems for multiply connected domains and circular slit maps. Zbl 1267.30018
2011
Scalar Riemann-Hilbert problem for multiply connected domains. Zbl 1248.30012
2011
Effective conductivity of unidirectional cylinders with interfacial resistance. Zbl 1170.74043
Drygas, P.; Mityushev, V.
2009
Conductivity of a two-dimensional composite containing elliptical inclusions. Zbl 1180.82185
2009
Couette flow in channels with wavy walls. Zbl 1151.76420
Malevich, A. E.; Mityushev, V. V.; Adler, Pierre M.
2008
Analytical methods for heat conduction in composites. Zbl 1150.74038
Mityushev, V.; Obnosev, Yu.; Pesetskaya, E.; Rogosin, S.
2008
On the Riemann-Hilbert problem with a piecewise constant matrix. Zbl 1174.30046
Mityushev, Vladimir V.; Rogosin, Sergei V.
2008
Exact solution of the R-linear problem for a disk in a class of doubly periodic functions. Zbl 1113.30035
Mityushev, V.
2007
The Bergman kernel for circular multiply connected domains. Zbl 1221.30017
2007
Representative cell in mechanics of composites and generalized Eisenstein-Rayleigh sums. Zbl 1116.74056
2006
Stokes flow through a channel with wavy walls. Zbl 1092.76017
Malevich, A. E.; Mityushev, V. V.; Adler, P. M.
2006
Darcy flow around a two-dimensional permeable lens. Zbl 1086.76068
2006
Increase and decrease of the effective conductivity of two-phase composites due to polydispersity. Zbl 1065.74054
Berlyand, L.; Mityushev, V.
2005
R-linear problem on torus and its application to composites. Zbl 1089.30042
2005
Effective medium approximation and exact formulae for electrokinetic phenomena in porous media. Zbl 1066.74045
2003
Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. I: A single cylinder in the unit cell. Zbl 1005.76087
2002
Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders. II: An arbitrary distribution of cylinders inside the unit cell. Zbl 1099.76536
2002
Schwarz problem for multiply connected domains and its application to diffusion around fractals. Zbl 1021.30043
2002
Generalized Clausius-Mossotti formula for random composite with circular fibers. Zbl 1072.82586
Berlyand, L.; Mityushev, V.
2001
Transport properties of doubly periodic arrays of circular cylinders and optimal design problems. Zbl 0982.30019
Mityushev, V.
2001
Constructive methods for linear and nonlinear boundary value problems for analytic functions: theory and applications. Zbl 0957.30002
Mityushev, V. V.; Rogosin, S. V.
2000
Thermoelastic plane problem for material with circular inclusions. Zbl 0994.74021
Mityushev, V.
2000
Transport properties of two-dimensional composite materials with circular inclusions. Zbl 0953.74007
1999
A linear functional equation with a singularity at a fixed point. Zbl 0929.39007
1999
Hilbert boundary value problem for multiply connected domains. Zbl 0906.30033
Mityushev, V.
1998
Convergence of the Poincaré series for some classical Schottky groups. Zbl 0899.30029
1998
Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case. Zbl 0914.35043
Mityushev, V.
1998
Transport properties of double-periodic arrays of circular cylinders. Zbl 0882.73045
Mityushev, V. V.
1997
Functional equations in a class of analytic functions and composite materials. Zbl 0878.39006
1997
Invariant solutions of the multidimensional Boussinesq equation. Zbl 0948.35022
Barannyk, L. F.; Kloskowska, B.; Mityushev, V. V.
1997
Transport properties of finite and infinite composite materials and Rayleigh’s sum. Zbl 0886.73038
Mityushev, V.
1997
Riemann problem on the double of a multiply connected circular region. Zbl 0883.30030
Mityushev, V. V.
1997
Generalized method of Schwarz and addition theorems in mechanics of materials containing cavities. Zbl 0841.73077
Mityushev, V. V.
1995
Rayleigh’s integral and effective conductivity of the square array of cylinders. Zbl 0821.73038
Mityushev, V. V.
1995
Solution of the Hilbert boundary value problem for a multiply connected domain. Zbl 0818.30026
1994
Plane problem for the steady heat conduction of material with circular inclusions. Zbl 0785.73055
Mityushev, V. V.
1993
A method of functional equations for boundary value problems of continuous media. Zbl 0821.31003
Mityushev, V. V.
1993
The eigenvalues of the problems of $$\mathbb{R}$$-linear conjugation. Zbl 0805.30029
Mityushev, V. V.
1992
all top 5