Merab Svanadze

School of Business, Technology and Education, Professor of Mathematics

In 1977 he graduated from I. Javakhishvili Tbilisi State University. In 1984 he defended his thesis of Candidate of Sciences of Physics and Mathematics. In 1998 he defended his thesis of Doctor of Sciences and was awarded the degree of Doctor Sciences of Physics and Mathematics, and in 2004 – the title of professor. He is a professor at Ilia State University since 2006.

Scientific interests / research interests

Elasticity and thermoelasticity, Mechanics of Solids, Mechanics of Porous Media, Biomechanics, Micro- and Nanomechanics, Continuum Mechanics,
Waves and Vibrations in Solids, Theory of Mixtures, Boundary Integral Equations, Mathematical Physics, Differential and Integral Equations

Featured publications

M. Svanadze, Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity, Mathematics and Mechanics of Solids, 2018 (in press).
M. Svanadze, Potential method in the theory of elasticity for triple porosity materials, J. Elasticity, vol. 130, Issue 1, pp. 1-24, 2018.
M. Svanadze, Boundary value problems of steady vibrations in the theory of thermoelasticity for materials with double porosity structure, Archives of Mechanics, vol. 69, No. 4-5, pp. 347-370, 2017.
M. Svanadze, Fundamental solutions in the theory of elasticity for triple porosity materials, Meccanica, vol. 51, pp. 1825-1837, 2016.
M. Svanadze, Boundary value problems in the theory of thermoelasticity for triple porosity materials, Proceedings of ASME2016. 50633; Vol. 9: Mechanics of Solids, Structures and Fluids; NDE, Diagnosis, and Prognosis, V009T12A079. November 11, 2016, IMECE2016-65046, doi: 10.1115/IMECE2016-65046.
E. Scarpetta, M. Svanadze, Uniqueness theorems in the quasi-static theory of thermoelasticity for solids with double porosity, J. Elasticity, vol. 120, No 1, pp. 67-86, 2015.
M. Svanadze, Uniqueness theorems in the theory of thermoelasticity for solids with double porosity, Meccanica, vol. 49, Issue 9, pp. 2099-2108, 2014.
M. Svanadze, On the theory of viscoelasticity for materials with double porosity, Discrete and Continuous Dynamical Systems – Series B (DCDS-B), vol. 19, No 9, pp. 2335-2352, 2014.
M. Svanadze, Fundamental solutions in thermoelasticity theory. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 7 Volumes, 1st Edition, Springer, 11 Volumes, 1st Edition, Springer, pp. 1901-1910, 2014.
M. Svanadze, Plane waves and boundary value problems in the theory of elasticity for solids with double porosity, Acta Applicandae Mathematicae, vol. 122, N 1, pp. 461-471, 2012.

Books

მ. სვანაძე, ელემენტარული მათემატიკა საბანკო საქმეში, ილიას სახ. უნივერსიტეტის გამომცემლობა, 2010, 156 გვ.
D.G. Natroshvili, A.J. Djagmaidze, M.Zh. Svanadze, Some Problems of the Linear Theory of Elastic Mixtures, Tbilisi University Press, Tbilisi, 1986, 215 p.
D. G. Natroshvili, M. Zh. Svanadze, Fundamental Boundary and Boundary-Contact Value Problems of Anisotropic Elastostatics, Tbilisi University Press, Tbilisi, 1981, 84 p.
D.G. Natroshvili, A.J. Djagmaidze, M.Zh. Svanadze, Boundary-contact Value Problems of the Elasticity Theory, Tbilisi University Press, Tbilisi, 1980, 88 p.

Articles in journals (2009-2018)

M. Svanadze, Steady vibrations problems in the theory of elasticity for materials with double voids, Acta Mechanica, 2018, DOI: 10.1007/s00707-017-2077-z (in press).
M. Svanadze, Potential method in the linear theory of triple porosity thermoelasticity, J. Math. Anal. Appl., 2018, DOI: 10.1016/j.jmaa.2017.12.022 (in press).
M. Svanadze, External boundary value problems in the quasi static theory of thermoelasticity for triple porosity materials, Proceedings in Applied Mathematics and Mechanics, vol. 17, Issue 1, pp. , 2017 (in press).
M. Svanadze, On the linear theory of thermoelasticity for triple porosity materials, In: M. Ciarletta, V. Tibullo, F. Passarella (eds), Proceedings of the 11th International Congress on Thermal Stresses, 5-9 June, 2016, Salerno, Italy, pp. 259-262, 2016.
M. Svanadze, External boundary value problems in the quasi static theory of elasticity for triple porosity materials, Proceedings in Applied Mathematics and Mechanics, vol. 16, Issue 1, pp. 495-496, 2016.
M. Svanadze, Plane waves, uniqueness theorems and existence of eigenfrequencies in the theory of rigid bodies with a double porosity structure, In: B. Albers and M. Kuczma (eds), Continuous Media with Microstructure II, pp. 287-306, Springer, 2015.
M. Svanadze, External boundary value problems of steady vibrations in the theory of rigid bodies with a double porosity structure, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 15, Issue 1, pp. 365-366, 2015.
M. Ciarletta, F. Passarella, M. Svanadze, Plane waves and uniqueness theorems in the coupled linear theory of elasticity for solids with double porosity, J. Elasticity, vol. 114, Issue 1, pp. 55-68, 2014.
A. Scalia, M. Svanadze, Basic theorems in thermoelastostatics of bodies with microtemperatures. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 355-365, 2014.
M. Svanadze, Fundamental solutions in thermoelastostatics of micromorphic solids. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 1910-1916, 2014.
M. Svanadze, Large existence of solutions in thermoelasticity theory of steady vibrations. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 2677-2687, 2014.
M. Svanadze, Potentials in thermoelasticity theory. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 4013-4023, 2014.
A. Scalia, M. Svanadze, Representations of solutions in thermoelasticity theory. In: R.B. Hetnarski (ed), Encyclopedia of Thermal Stresses, 11 Volumes, 1st Edition, Springer, pp. 4194-4203, 2014.
A. Scalia, M. Svanadze, Potential method in the theory of thermoelasticity with microtemperatures for microstretch solids, Transaction of Nanjing University of Aeronautics and Astronautics, vol. 31, Issue 2, pp, 159-163, 2014.
E. Scarpetta, M. Svanadze, V. Zampoli, Fundamental solutions in the theory of thermoelasticity for solids with double porosity, J. Thermal Stresses, vol. 37, No 6, pp. 727-748, 2014.
M. Svanadze, Boundary value problems in the theory of thermoporoelasticity for materials with double porosity, Proceedings in Applied Mathematics and Mechanics, vol. 14, Issue 1, pp. 327-328, 2014.
M. Svanadze, S. De Cicco, Fundamental solutions in the full coupled linear theory of elasticity for solid with double porosity, Archives of Mechanics, vol. 65, No 5, pp. 367-390, 2013.
M. Svanadze, A. Scalia, Mathematical problems in the coupled linear theory of bone poroelasticity, Comp. Math. Appl., vol. 66, No 9, pp. 1554-1566, 2013.
M. Svanadze, Fundamental solution in the linear theory of consolidation for elastic solids with double porosity, J. Math. Sci., vol. 195, Issue 2, pp. 258-268, 2013 (Translated from Contemporary Mathematics and its Applications, vol. 81, Complex Analysis and Topology, 2012).
M. Svanadze, On the linear theory of thermoelasticity with microtemperatures, Technische Mechanik, vol. 32, No 2-5, pp. 564-576, 2012.
M. Svanadze, The boundary value problems of the full coupled theory of poroelasticity for materials with double porosity, Proceedings in Applied Mathematics and Mechanics, vol. 12, Issue 1, pp. 279-282, 2012.
M. Svanadze, A. Scalia, Mathematical problems in the theory of bone poroelasticity, Int. J. Mathematical Methods and Models in Biosciences, vol. 1, No 2, 1211225, pp. 1–4, 2012.
M. Svanadze, Boundary integral method in the dynamical theory of thermoelasticity with microtemperatures, In: I. Troch, F. Breitenecker (eds.), Full Paper Preprint Volume, 7th Vienna International Conference on Mathematical Modelling, 14 – 17 February, 2012, Vienna University of Technology, ARGESIM Report no. AR-S38, http://seth.asc.tuwien.ac.at/proc12/full_paper/Contribution144.pdf.
M. Svanadze, R. Tracinà, Representations of solutions in the theory of thermoelasticity with microtemperatures for microstretch solids, J. Thermal Stresses, vol. 34, No 2, pp. 161-178, 2011.
A. Scalia, M. Svanadze, Uniqueness theorems in the equilibrium theory of thermoelasticity with microtemperatures for microstretch solid, J. Mechanics of Materials and Structures, vol. 6, No 9-10, pp.1295-1311, 2011.
M. Svanadze, Boundary value problems of steady vibrations in the theory of thermoelasticity with microtemperatures, Proceedings in Applied Mathematics and Mechanics, v. 11, Issue 1, pp. 443-444, 2011.
M. Svanadze, Plane waves in the theory of thermoelasticity with microtemperatures, 9th International Congress on Thermal Stresses, 5-9 June, 2011, Budapest, Hungary, CD of papers.
http://ts2011.mm.bme.hu/kivonatok/Merab%20Svanadze_TS2011_1295087678.pdf
M. Svanadze, Dynamical problems of the theory of elasticity for solids with double porosity, PAMM-Proceedings in Applied Mathematics and Mechanics, vol. 10, Issue 1, pp. 309-310, 2010.
A. Scalia, M. Svanadze, R. Tracinà, Basic theorems in the equilibrium theory of thermoelasticity with microtemperatures, J. Thermal Stresses, vol. 33, 721-753, 2010.
M. Svanadze, S. De Cicco, Fundamental solution in the theory of viscoelastic mixtures, Journal of Mechanics of Materials and Structures, vol. 4, No 1, pp. 139 – 156, 2009.
A. Scalia, M. Svanadze, Potential method in the linear theory of thermoelasticity with microtemperatures, J. Thermal Stresses, vol. 32, pp. 1024 – 1042, 2009.
M. Svanadze, Boundary value problems in the theory of thermoelasticity of binary mixtures with different constituent temperatures, Proceedings of the 8th International Congress on Thermal Stresses, 1-4 June, 2009, Urbana, USA, vol. II, pp. 475 – 478, 2009.
A. Scalia, M. Svanadze, On the linear theory of thermoelasticity with microtemperatures, Proceedings of the 8th International Congress on Thermal Stresses, 1-4 June, 2009, Urbana, USA, vol. II, pp. 465 – 468, 2009.
M. Ciarletta, M. Svanadze, L. Buonano, Plane waves and vibrations in the micropolar thermoelastic materials with voids, European J. Mech., A/ Solids, vol. 28, pp. 897-903, 2009.

An extensive list of publications (1979-2008)

Current Courses

Integral Equations II;
Equations of Mathematical Physics;
Method of Potentials in Mathematical Physics;
Integral Equations I;
Models of Applied Mathematics;
Method of Potentials in Elasticity Theory.

Course Catalog

Theory of Thermoelasticity, 2011-2012 acad. year, spring semester, master's level.
Mathematical Analysis I, 2014-2015 acad. year, autumn semester, bachalor's level.
Mathematical Analysis II, 2009-2010 acad. year, spring semester, bachalor's level.
Elementary Mathematics in Banking, 2008-2009 and 2009-2010 acad. years, autumn semester, bachalor's level.
Mathematical Analysis I, 2008-2009 acad. year, autumn semester, bachalor's level.
Mathematical Methods in Banking and Economics, 2007-2011 years, spring semester, master's level.

Membership of Professional Societies

New York Academy of Sciences (1995 – present).
American Mathematical Society (1999 – present).
American Society of Mechanical Engineers (2015 – present).
GAMM (Gesellschaft für Angewandte Mathematik und Mechanik, International Society of Applied Mathematics and Mechanics) (1996 – present).
European Mechanics Society (2009 – present).
European Society of Biomechanics (2006 – present).
SIAM (Society for Industrial and Applied Mathematics) (2006 – present).
International Society of Porous Media (2012 – present).

Member of Editorial Board of the International Scientific Journals

Le Matematiche, Journal of Pure and Applied Mathematics, Associate Editor (2009-2016).
Trends in Applied Sciences Research (New York, USA) (2007 – 2010).

Visited Professor

University of Salerno, Italy (February 2014, April 2013, July 2012, March 2009, July 2005, February-March 2005, December 2004).
University of Catania, Italy (July 2012, July, February 2010, July, February 2009, June 2008, June, March 2005).
University of Napoli, Italy (March 2011, February 2008, July 2004).
Technical University of Catalunya, Barcelona, Spain (October 2006).
University of Essen, Germany (November 2000).
University Konstanz, Germany (October 2000).

Research Grants

1. Grant of Shota Rustaveli National Science Foundation:

Investigation of problems of the mathematical theories of multiporosity materials, # FR/18/5-102/14, May 2015 – May 2017.
Investigation of the problems of the theories of elasticity and thermoelasticity for solids with microstructure, # GNSF/ST08/3-388, March 2009 - February 2012.
Investigation of the problems of the theory of elasticity and thermoelasticity for binary mixtures, # GNSF/ST06/3-033, October 2006 –September 2009.
Travel Grant, 2007, 2013.

2. Grant of University Napoli, 2004.

3. DAAD (Deutscher Akademischer Austauschdienst) Stipendium, RWTH Aachen, Germany, 1995.

Biography is included in the book:
Who’s Who in the World, 2006 (23^rd Edition, November, 2005, Marquis Who’s Who LLC, USA).

Reviewer of International Scientific Journals:
He is a reviewer of 28 international scientific journals.

Participation იn International Scientific Events
He is a participant of 17 international congresses and 49 international conferences.

Publications, citations and indexes:
He has 175 publications (3 books, 1 textbook, 94 scientific article and 77 conference theses) and 1288 citations with h-index 22 and i10-index 38 (14 February, 2018).