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Information × Registration Number 0301U002368, 0100U003363 , R & D reports Title Qualitative methods in the research of initial boundary value problems of mathematical physics popup.stage_title Доведення існування малого числа визначаючих вузлів для дисипативних хвильових рівнянь Head Chueshov I.D., Registration Date 10-04-2001 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of the Research Project is global attractors of dynamic systems generated by some class of dissipative systems of connected wave equations with periodic boundary conditions. The goal of the Project is to prove that those attractors are regular on Gevrey. The proved regularity means that the elements of an attractor are realanalytical functions of the spatial variables. This, in its turn, makes it possible to prove the existence of two defining knots in problems with one spatial variable. The methods of the research are theoretical constructions. The work is theoretical one. Its results may be used in the construction of the algorithms of approximate solution of nonlinear dissipative systems with periodical boundary conditions. Product Description popup.authors popup.nrat_date 2020-04-02 Close