arXiv:1502.06581 Abstract | arXiv Analytics

arXiv:1502.06581 [math.AP]Abstract References Reviews Resources

Lyapunov Exponents for Burgers' Equation

Published 2015-02-23Version 1

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.

Comments: 6 pages, 1 table

Categories: math.AP, math-ph, math.MP

Subjects: 35K55, 35B40, 35C05

Keywords: lyapunov exponents, dirichlet boundary conditions, one-dimensional viscous burgers equation, stationary solution, finite interval

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