Search academic texts

Information × Registration Number 0211U006012, 0106U000593 , R & D reports Title Differential, topological and geometrical aspects of theory of dynamical systems, mathematical physics and theory of fundamental interactions popup.stage_title Head Pelykh Volodymyr, Registration Date 15-02-2011 Organization Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine popup.description2 Li-algebraic structure of additional homogeneous symmetries of Lax flows hierarchy as Hamiltotian flows is considered. Supersymmetrycal and differential-difference counterpart of two-dimensional dynamical systems by three-linear Lax representation is obtained. In most general approach Marsden-Misiolek Ortega-Perlmutter Ratiu conjecture is proved. .Topological classification of gradientlike Morse-Smyle slicing on surfaces is obtained. An approach for construction of difference counterpart of some differencial-geometrical operators is obtained. The solvability of normal boundary value problem for parabolic equation with pseudodifferential term is proved. A new representation for Matisson-Papapetrou equation is established. A new approach to statistical analysis of samples of supernova remnants (SNRs) is developed in order to put constraints on models of acceleration of cosmic rays (CR) and properties of magnetic field (MF) in SNRs. The method, beside common diameter and the average surface radio brightness of SNRs, uses also the density of interstellar medium around these objects estimated from X-ray observations. Product Description popup.authors Вербіцький О.В. Гентош О.Є. Гнатик Б.І. Гоєнко Н.П. Зарічний І.М. Кирчей І.І. Кучмінська Х.Й. Лопушанський А.О. Мацюк Р.Я. Микитюк І.В. Новосядлий Б.С. Пелих В.О. Петрук О.Л. Плахта Л.П. Пляцко Р.М. Прикарпатський А.К. Ревенко В.П. Сусь О.М. Сущ В.Н. popup.nrat_date 2020-04-02 Close