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arXiv · 1502.06581

Lyapunov Exponents for Burgers' Equation

Alexei Kourbatov
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Abstract

We establish the existence, uniqueness, and stability of the stationary solution of the one-dimensional viscous Burgers equation with the Dirichlet boundary conditions on a finite interval. We obtain explicit formulas for solutions and analytically determine the Lyapunov exponents characterizing the asymptotic behavior of arbitrary solutions approaching the stationary one.

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Alexei Kourbatov. 2015-02-23. Lyapunov Exponents for Burgers' Equation. https://arxiv.org/abs/1502.06581

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