On periodic solutions of the Benjamin-Bona-Mahony-Burgers equation
Abstract
In this paper, we would establish the existence and stability of periodic solutions to the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation in H10([0, 1]), whose medium interior is applied with time-periodic force f(x, t) with period θ. High regularity analysis has been conducted in Hilbert spaces H, >1. We also consider periodic solution to same IBVP scenario of a pseudo-parabolic-regularized equation as an extension of the BBM-Burgers in H, =\1, 2\.
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