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Registration Number

0214U005424, 0114U007153 , R & D reports

Title

Strong solutions of the three-dimensional Navier-Stokes equations

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Head

Kasyanov Pavlo Olegovych,

Registration Date

29-12-2014

Organization

Educational-scientific complex "Institute of applied system analysis" of the NTUU "KPI"

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The three-dimensional Navier-Stokes system in a bounded domain is investigated. Based on the ideas of corresponding member of Ukraine V.S. Melnik and using artificial control method and Schaefer methor the sufficient conditions for the strong solution existence of the Cauchy problem are derived. The topological properties of solution are obtained. For the modified three-dimensional Navier-Stokes system in an unbounded domain satisfying Poincare' inequality, an nambiguous global solvability is proved. For the corresponding semigroup the existence of a global attractor in the strong topology of the phase space is derived.

Product Description

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Горбань Наталія Володимирівна
Капустян Олексій Володимирович
Касьянов Павло Олегович
Палійчук Лілія Сергіївна
Ткачук Алла Миколаївна
Хоменко Ольга Володимирівна

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2020-04-02