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Invariant Manifolds for the Burgers Equation Defined on a Semiaxis

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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.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991, Russia

    A. V. Gorshkov

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  1. A. V. Gorshkov
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Correspondence to A. V. Gorshkov.

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Original Russian Text © A.V. Gorshkov, 2018, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2018, Vol. 58, No. 1, pp. 95–107.

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Gorshkov, A.V. Invariant Manifolds for the Burgers Equation Defined on a Semiaxis. Comput. Math. and Math. Phys. 58, 90–101 (2018). https://doi.org/10.1134/S0965542518010062

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  • DOI: https://doi.org/10.1134/S0965542518010062

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