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arXiv · 2510.16162

On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation

Chun Ho Lau·Taige Wang
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Abstract

In this paper, we would establish the existence and stability of periodic solutions to the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation in $H^1_0([0, 1])$, whose medium interior is applied with time-periodic force $f(x, t)$ with period $\theta$. High regularity analysis has been conducted in Hilbert spaces $H^\ell, \ell>1$. We also consider periodic solution to same IBVP scenario of a pseudo-parabolic-regularized equation as an extension of the BBM-Burgers in $\mathcal{H}^{\ell}, \ell=\{1, 2\}$.

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Chun Ho Lau, Taige Wang. 2025-10-17. On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation. https://arxiv.org/abs/2510.16162

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