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Information × Registration Number 0223U000267, 0122U000594 , R & D reports Title Modern methods of the theory of boundary value problems and their application to problems of mathematical physics and mechanics popup.stage_title Head Skrypnik Ihor I., Доктор фізико-математичних наук Registration Date 05-01-2023 Organization Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine popup.description2  The aim of the research was to establish existence conditions and qualitative properties of solutions of non-classical boundary value problems for equations of mathematical physics and mechanics with subsequent application of the obtained results to modern problems simulating physical and chemical processes in anisotropic and heterogeneous media, motion control processes of distributed robotic systems, etc. As a result of research, new and improved existing analytical and qualitative methods for the study of nonlinear elliptic, parabolic and hyperbolic equations with non-standard boundary conditions or the structure of coefficients. The results of the research have potential applications in image processing, in construction and investigation of models describing flows of electro-rheological fluids, for constructive determination of control functionals for stabilisation of vibrations of elastic engineering structures, for damping of vibrations of various kinds of complex mechanical systems, for modelling complex physical phenomena of gas and fluid mechanics, etc. Product Description popup.authors Voitovych Mykhailo V. Gutlyanskii Volodymyr Ya. Zuyev Alexander Leonidovich Kalosha Julia I. Nesmelova Olga V. Ryazanov Volodymyr Illich Tkachenko Olga P. popup.nrat_date 2023-01-05 Close