Registration Number
0216U007496,
0116U005330
, R & D reports
Title
On limit states of mathematical models for viscoelastic fluids
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Head
Kasyanov Pavlo Olehovych,
Registration Date
20-12-2016
Organization
Educational Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Kiev Polytechnic Institute"
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For the class of mathematical models of concentrated suspensions the convergence of fixed points for corresponding built approximation problems is studied. It is proved that every approximation problem has a unique fixed point, and iterative limit of fixed points for approximation problem in L^2(R) coincides with the fixed point of the initial equation with support that is not contained in the interval [-1, 1]. For the sequence of approximations of the problem the implicit Euler scheme for discretization of derivatives on time is implemented. Numerical simulation is carried.
Product Description
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Горбань Наталія Володимирівна
Капустян Олексій Володимирович
Касьянов Павло Олегович
Купенко Ольга Петрівна
Палійчук Лілія Сергіївна
Хоменко Ольга Володимирівна
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2020-04-02