Differential and Integral Equations

Asymptotic expansion for the generalized Benjamin-Bona-Mahony-Burger equation

Raúl Prado and Enrique Zuazua

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In this work we obtain the complete asymptotic expansion of solutions, as time goes to infinity, of both the linearized Benjamin-Bona-Mahony-Burger equation and the linear Korteweg-de Vries-Burger equation. We also compute the second term in the asymptotic expansion of the solution to the two-dimensional Benjamin-Bona-Mahony-Burger equation, with quadratic nonlinear term.

Article information

Differential Integral Equations, Volume 15, Number 12 (2002), 1409-1434.

First available in Project Euclid: 21 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 35C20: Asymptotic expansions 35L85: Linear hyperbolic unilateral problems and linear hyperbolic variational inequalities [See also 35R35, 49J40]


Prado, Raúl; Zuazua, Enrique. Asymptotic expansion for the generalized Benjamin-Bona-Mahony-Burger equation. Differential Integral Equations 15 (2002), no. 12, 1409--1434. https://projecteuclid.org/euclid.die/1356060705

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