Department of Applied Mathematics
History
The Department of Applied Mathematics was established on September 1, 2015, based on the merger of three long-standing departments:
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the Department of Differential Equations and Control (founded in 1971),
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the Department of Theoretical and Applied Mechanics (founded in 1863),
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the Department of Mathematical Modeling and Software (founded in 1972).
Research
Scientific research at the department is conducted in the following main areas:
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controllability and stabilization of dynamical systems; synthesis of bounded controls for nonlinear systems; algebraic methods in the theory of nonlinear controlled systems;
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controllability and stabilizability in infinite-dimensional spaces;
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reduction of nonlinear controlled systems to linear ones;
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control of oscillations in Timoshenko beams;
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the Markov moment problem on the shortest possible interval and its applications in optimal control theory;
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numerical methods for singular and hypersingular integral equations in electrodynamics and diffraction theory;
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mathematical modeling of the evolution of physical and financial–economic systems;
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applications of spectral–analytic and probabilistic–statistical methods;
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theory of functional – differential, impulsive, and difference equations of Sobolev type; spectral theory of operator pencils;
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modeling of the human arterial, musculoskeletal, and dental systems; thermodynamics of biological growth; long-distance fluid transport in plants and animals; biothermohydromechanics; optimal biomechanical systems;
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modeling of media with complex properties in electromagnetic fields; magnetohydrodynamic phenomena;
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equilibrium and stability of free surfaces of magnetizable and polarizable liquids and solid bodies levitating in electromagnetic fields;
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problems in continuum mechanics and electrodynamics.
Academic Staff
The department is headed by Professor V. I. Korobov.
The academic and research staff includes: 8 Professors, 8 Associate Professors, 3 Senior Lecturers, 1 Senior Research Fellow.