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.

About the authors

A. V. Gorshkov

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: alexey.gorshkov.msu@gmail.com
Russian Federation, Moscow, 119991

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