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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 1, Pages 95–107 (Mi zvmmf10662)

This article is cited in 1 paper

Invariant manifolds for the burgers equation defined on a semiaxis

A. V. Gorshkov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

Abstract: Stable nonlocal invariant manifolds for the Burgers equation defined on $R_+$ are constructed. One problem of a boundary control stabilizing the solution of this equation to zero is also studied. Results of numerical experiments are presented.

Key words: Burgers equation, invariant manifolds, stabilization, boundary control.

UDC: 519.63

Received: 19.09.2016

DOI: 10.7868/S0044466918010064


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:1, 90–101

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