1 Inverse Boundary, Geometric, and Coefficient Problems of Mathematical Physics
2 The Method of Boundary Integral Equations in Mechanics
3 Direct and Inverse Problems for the models of Electroelasticity and Thermoelectroelasticity
4 Mathematical models of Biomechanics
Research projects:
Project Manager (for the last 5 years)
2010-2012: project RFBR 10-01-0019 “Development of new methods for identification of localized and distributed inhomogeneities in solids”
2010-2012: project within the framework of the Federal Target Program "Scientific and Scientific Pedagogical Staff of Innovative Russia" for 2009-2013 years “Mechanics of materials and structures with nonlinear and inhomogeneous properties, their identification and construction of numerical and analytical solutions”
2013-2015: project RFBR 13-01-00196 “Development of models and methods for diagnostics of inhomogeneous prestressed states and destruction in solids”
2014-2016: project Ministry of Education and Science of the Russian Federation N 9.665.2014 / K «Statics and dynamics of nonlinearly elastic, micropolar inhomogeneous materials and thin-walled structures, building solutions, and identification of mechanical properties»
since 2016: project RFBR 16-01-00354 “Development of new methods for characterization, identification and optimization of the properties of functional gradient piezocomposites