This paper investigates a class of Boussinesq-type equations in a bounded domain Ω ⊂ ℝ???? subject to clamped or hinged boundary conditions. The local existence of weak solutions is proven using the classical Faedo-Galerkin method in conjunction with the contraction mapping principle. Within the framework of potential wells, the global existence of solutions and energy decay are established when the solution resides in a subset that is smaller than the stable set. Also, it is shown that solutions exhibit exponential growth either when they belong to the unstable set or when the initial energy is negative. Furthermore, the blow-up of solutions is proven by combining the potential well framework with concavity arguments. For solutions with sufficiently positive initial energy, an upper bound for the blow-up time is derived, while a suitable functional is employed to establish a lower bound for the blow-up time.

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