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:

  • the Department of Differential Equations and Control (founded in 1971),

  • the Department of Theoretical and Applied Mechanics (founded in 1863),

  • the Department of Mathematical Modeling and Software (founded in 1972).

Research

Scientific research at the department is conducted in the following main areas:

  • controllability and stabilization of dynamical systems; synthesis of bounded controls for nonlinear systems; algebraic methods in the theory of nonlinear controlled systems;

  • controllability and stabilizability in infinite-dimensional spaces;

  • reduction of nonlinear controlled systems to linear ones;

  • control of oscillations in Timoshenko beams;

  • the Markov moment problem on the shortest possible interval and its applications in optimal control theory;

  • numerical methods for singular and hypersingular integral equations in electrodynamics and diffraction theory;

  • mathematical modeling of the evolution of physical and financial–economic systems;

  • applications of spectral–analytic and probabilistic–statistical methods;

  • theory of functional – differential, impulsive, and difference equations of Sobolev type; spectral theory of operator pencils;

  • 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;

  • modeling of media with complex properties in electromagnetic fields; magnetohydrodynamic phenomena;

  • equilibrium and stability of free surfaces of magnetizable and polarizable liquids and solid bodies levitating in electromagnetic fields;

  • 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.

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