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Information × Registration Number 0212U004137, 0109U000127 , R & D reports Title Mathematical models of potential theory for processes in continuous media with multiscale and localized effects popup.stage_title Head Polіakov Mykola Viktorovich, Registration Date 30-01-2012 Organization Dniepropetrovsk national university popup.description2 The object of investigation is complex physical and chemical processes mainly mechanical and thermal in the continuum, the course of which significantly affect various phenomena or localized on the surface or in the vicinity of a point, and also phenomena localized in time (short-term processes, rapid, slow processes, such as slow and fast phase transitions). The aim of the investigation is development of universal and effective approach for the calculation the multiscale phenomena taking place in continuous media. Investigation methods: methods of mathematical modeling, asymptotic methods, potential theory methods. The novelty of the results is both fundamentally new mathematical models and in models that generalize the existing model. Investigation results improve and generalize asymptotic mathematical models of localized phenomena in continuum and Lagrangian mathematical models and corresponding numerical methods of multiphase hydrodynamics, new asymptotic mathematical models and related numerical methods for mass transfer processes in thin layers, refined and generalized asymptotic mathematical models and corresponding numerical methods for slow phase transitions. The field of application of the investigation application of research results is a missile and space research and disign, nanotechnologies. Product Description popup.authors Євдокимов Дмитро Васильович Бразалук Юлія Володимирівна Сербіченко Дар'я Миколаївна popup.nrat_date 2020-04-02 Close