Dr. Vladmir Mityushev

Research Scientist
Pedagogical University of Krakow, Poland

Highest Degree
Ph.D. in Boundary Value Problem from Minsk University, Belarus

My URL
https://livedna.org/48.11439

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Area of Interest:

Physical Science Engineering
Applied Mathematics
Composites
Fracture Mechanics
Elasticity

Selected Publications

  1. Ryan, S.D., V. Mityushev, V.M. Vinokur and L. Berlyand, 2015. Rayleigh approximation to ground state of the Bose and Coulomb glasses. Scient. Rep., Vol. 5. 10.1038/srep07821.
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  2. Musolino, P. and V. Mityushev, 2015. Asymptotic behavior of the longitudinal permeability of a periodic array of thin cylinders. Electron. J. Differ. Equat., 290: 1-20.
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  3. Mityushev, V. and W. Nawalaniec, 2015. Basic sums and their random dynamic changes in description of microstructure of 2D composites. Comput. Mater. Sci., 97: 64-74.
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  4. Gluzman, S. and V. Mityushev, 2015. Series, index and threshold for random 2D composite. Arch. Mech., 67: 75-93.
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  5. Celebi, A.O. and V.V. Mityushev, 2015. Schwarz problem for bi-analytic functions in multiply connected domains. Complex Variables Elliptic Equat., 60: 566-582.
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  6. Mityushev, V., 2014. Poincare α-Series for Classical Schottky Groups. In: Analytic Number Theory, Approximation Theory and Special Functions, Milovanovic, G.V. and M.T. Rassias (Eds.). Springer, New York, USA., ISBN: 978-1-4939-0257-6, pp: 827-852.

  7. Mityushev, V., 2014. Dirichlet Problem with Prescribed Vertices in Multiply Connected Domains. In: Complex Analysis and Potential Theory with Applications, Azerogly, T.A., A. Goldberg and S.V. Rogosin (Eds.). Cambridge Scientific Publ., Cambridge, UK., ISBN-13: 978-1908106407, pp: 139-146.

  8. Mityushev, V., 2014. Applications of Functional Equations to Dirichlet Problem for Doubly Connected Domains. In: Handbook of Functional Equations: Functional Inequalities, Rassias, T.M. (Ed.). Springer, New York, USA., ISBN-13: 9781493912469, pp: 315-325.

  9. Gluzman, S., V. Mityushev and W. Nawalaniec, 2014. Cross-properties of the effective conductivity of the regular array of ideal conductors. Arch. Mech., 66: 287-301.
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  10. Filshtinsky, L. and V. Mityushev, 2014. Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites. In: Mathematics without Boundaries: Surveys in Interdisciplinary Research, Pardalos, P.M. and T.M. Rassias (Eds.). Springer, New York, USA., ISBN: 978-1-4939-1123-3, pp: 217-262.

  11. Bryla, M., A.V. Krupoderov, A.A. Kushunin, V. Mityushev and M.A. Zhuravkov, 2014. Mathematical Models of Mechanical Fields in Media with Inclusions and Holes. In: Handbook of Functional Equations: Functional Inequalities, Rassias, T.M. (Ed.). Springer, New York, USA., ISBN-13: 9781493912469, pp: 15-42.

  12. Rylko, N., B. Krzaczek and V. Mityushev, 2013. Conductivity of fibre composites with fractures on the boundary of inclusions. Multiscale Model. Simul., 11: 152-161.
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  13. Mityushev, V. and N. Rylko, 2013. Maxwell's approach to effective conductivity and its limitations. Quart. J. Mech. Applied Math., 66: 241-251.
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  14. Mityushev, V. and N. Rylko, 2013. A fast algorithm for computing the flux around non-overlapping disks on the plane. Math. Comput. Modell., 57: 1350-1359.
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  15. Bojarski, B. and V. Mityushev, 2013. R-linear problem for multiply connected domains and alternating method of Schwarz. J. Math. Sci., 189: 68-77.
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  16. Adler, P.M., A.E. Malevich and V.V. Mityushev, 2013. Nonlinear correction to Darcy's law for channels with wavy walls. Acta Mechanica, 224: 1823-1848.
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  17. Mityushev, V.V., 2012. Scalar Riemann-Hilbert Problem for Multiply Connected Domains. In: Functional Equations in Mathematical Analysis, Rassias, T.M. and J. Brzdek (Eds.). Chapter 38, Springer, New York, USA., ISBN: 978-1-4614-0054-7, pp: 599-632.

  18. Mityushev, V.V., 2012. R-Linear and Riemann-Hilbert Problems for Multiply Connected Domains. In: Advances in Applied Analysis, Rogosin, S.V. and A.A. Koroleva (Eds.). Birkhauser, Basel, Switzerland, ISBN: 978-3-0348-0416-5, pp: 147-176.

  19. Mityushev, V., 2012. Schwarz-Christoffel formula for multiply connected domains. Comput. Methods Funct. Theory, 12: 449-463.
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  20. Mityushev, V., 2012. Riemann-Hilbert problems for multiply connected domains and circular slit maps. Comput. Methods Funct. Theory, 11: 575-590.
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  21. Mityushev, V. and N. Rylko, 2012. Optimal distribution of the nonoverlapping conducting disks. Multiscale Model. Simul., 10: 180-190.
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  22. Jarczyk, P. and V. Mityushev, 2012. Neutral coated inclusions of finite conductivity. Proc. R. Soc. London A: Math. Phys. Eng. Sci., 468: 954-970.
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  23. Czapla, R., W. Nawalaniec and V. Mityushev, 2012. Simulations of representative volume elements for random 2D composites with circular non-overlapping inclusion. Theoret. Applied Inform., 24: 227-242.
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  24. Czapla, R., W. Nawalaniec and V. Mityushev, 2012. Effective conductivity of random two-dimensional composites with circular non-overlapping inclusions. Comput. Mater. Sci., 63: 118-126.
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  25. Czapla, R., V. Mityushev and N. Rylko, 2012. Conformal mapping of circular multiply connected domains onto slit domains.q Electron. Trans. Numer. Anal., 39: 286-297.
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  26. Malevich, A.E., V.V. Mityushev and P.M. Adler, 2010. Electrokinetic phenomena in wavy channels. J. Colloid Interface Sci., 345: 72-87.
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  27. Adler, P.M. and V.V. Mityushev, 2010. Resurgence flows in three-dimensional periodic porous media. Phys. Rev. E, Vol. 82, No. 1. 10.1103/PhysRevE.82.016317.
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  28. Mityushev, V., 2009. Conductivity of a two-dimensional composite containing elliptical inclusions. Proc. R. Soc. London A: Math. Phys. Eng. Sci., 465: 2991-3010.
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  29. Drygas, P. and V. Mityushev, 2009. Effective conductivity of unidirectional cylinders with interfacial resistance. Quart. J. Mech. Applied Math., 62: 235-262.
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  30. Adler, P.M. and V.M. Mityushev, 2009. Resurgence flows in porous media. Phys. Rev. E, Vol. 79, No. 2. 10.1103/PhysRevE.79.026310.
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  31. Mityushev, V.V., E. Pesetskaya and S. Rogosin, 2008. Analytical Methods for Heat Conduction in Composites and Porous Media. In: Cellular and Porous Materials: Thermal Properties Simulation and Prediction, Ochsner, A., G.E. Murch and M.J.S. de Lemos (Eds.). Wiley-VCH, Weinheim, Germany, ISBN-13: 9783527621415, pp: 121-164.

  32. Mityushev, V.V. and S.V. Rogosin, 2008. On the Riemann-Hilbert problem with a piecewise constant matrix. J. Anal. Applic., 27: 53-66.
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  33. Mityushev, V., Y. Obnosov, E. Pesetskaya and S. Rogosin, 2008. Analytical methods for heat conduction in composites. Math. Modell. Anal., 13: 67-78.
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  34. Malevich, A.E., V.V. Mityushev and P.M. Adler, 2008. Couette flow in channels with wavy walls. Acta Mechanica, 197: 247-283.
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  35. Mityushev, V., 2007. Exact solution of the R-linear problem for a disk in a class of doubly periodic functions. J. Applied Funct. Anal., 2: 115-127.
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  36. Mityushev, V., 2007. Boundary value problem and functional equations for overlapping disks. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 6: 131-136.
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  37. Jeong, M. and V. Mityushev, 2007. The Bergman kernel for circular multiply connected domains. Pac. J. Math., 233: 145-157.
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  38. Mityushev, V., 2006. Representative cell in mechanics of composites and generalized Eisenstein-Rayleigh sums. Complex Variables Elliptic Equat., 51: 1033-1045.
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  39. Mityushev, V. and P.M. Adler, 2006. Darcy flow around a two-dimensional permeable lens. J. Phys. A: Math. Gen., 39: 3545-3560.
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  40. Malevich, A.E., V.V. Mityushev and P.M. Adler, 2006. Stokes flow through a channel with wavy walls. Acta Mechanica, 182: 151-182.
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  41. Mityushev, V., 2005. R-linear problem on torus and its applications to composites. Complex Variables Theory Applic., 50: 621-630.
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  42. Berlyand, L. and V. Mityushev, 2005. Increase and decrease of the effective conductivity of two phase composites due to polydispersity. J. Stat. Phys., 118: 481-509.
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  43. Mityushev, V., 2004. Small gap problem. Aequationes Mathematicae, 67: 310-311.

  44. Adler, P.M., A.E. Malevich and V. Mityushev, 2004. Macroscopic diffusion on rough surfaces. Phys. Rev. E, Vol. 69, No. 1. 10.1103/PhysRevE.69.011607.
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  45. Szczepkowski, J., A.E. Malevich and V. Mityushev, 2003. Macroscopic properties of similar arrays of cylinders. Quart. J. Mech. Applied Math., 56: 617-628.
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  46. Adler, P.M. and V. Mityushev, 2003. Effective medium approximation and exact formulae for electrokinetic phenomena in porous media. J. Phys. A: Math. Gen., 36: 391-404.
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  47. Mityushev, V., M. Paszkuta, Z. Piesik and J. Szczepkowski, 2002. Theoretical model of solidification of coastal lacks. Slupskie Prace Math. Phys., 2: 71-79.

  48. Mityushev, V. and P.M. Adler, 2002. Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders II. An arbitrary distribution of cylinders inside the unit cell. J. Applied Math. Phys., 53: 486-517.
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  49. Mityushev, V. and P.M. Adler, 2002. Longitudinal permeability of spatially periodic rectangular arrays of circular cylinders I. A single cylinder in the unit cell. J. Applied Math. Mech., 82: 335-345.
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  50. Mityushev, V. and P. Adler, 2002. Schwarz problem for multiply connected domains and its application to diffusion around fractals. Complex Variables, 47: 303-324.
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  51. Podloznyi, E.D. and V. Mityushev, 2001. Heat moving waves in plazmatron. Izvestia Belorusskoj Inzhenernoj Akademii, 1: 83-87.

  52. Mityushev, V., 2001. Transport properties of doubly periodic arrays of circular cylinders and optimal design problems. Applied Math. Optimiz., 44: 17-31.
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  53. Mityushev, V. and K. Reszka, 2001. Boundary value problem for a curvilinear triangle and its applications in mechanics of composite materials. Zeszyty Naukowe Politechniki Rzeszowskiej Matematyka, 25: 131-138.

  54. Berlyand, L. and V. Mityushev, 2001. Generalized Clausius-Mossotti formula for random composite with circular fibers. J. Stat. Phys., 102: 115-145.
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  55. Adler, P.M. and V. Mityushev, 2001. Conductivity of a sierpinski carpet. Proc. Inst. Math. (Minsk), 9: 7-15.
Member since March, 2016